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["cot(d*x+c)^3*csc(d*x+c)/(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^3*csc(d*x+c)^2/(a+a*sin(d*x+c))","x",1],
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["cos(d*x+c)^5*sin(d*x+c)^4*(a+a*sin(d*x+c))","x",1],
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["cot(d*x+c)^5*csc(d*x+c)*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^5*csc(d*x+c)^2*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^5*csc(d*x+c)^3*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^5*csc(d*x+c)^4*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^5*csc(d*x+c)^5*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^5*csc(d*x+c)^6*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^5*csc(d*x+c)^7*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^5*sin(d*x+c)^3*(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^5*sin(d*x+c)^2*(a+a*sin(d*x+c))^2","x",1],
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["cos(d*x+c)^3*cot(d*x+c)^2*(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^2*cot(d*x+c)^3*(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)*cot(d*x+c)^4*(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^5*(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^5*csc(d*x+c)*(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^5*csc(d*x+c)^2*(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^5*sin(d*x+c)^2*(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^5*sin(d*x+c)*(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^4*cot(d*x+c)*(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^3*cot(d*x+c)^2*(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^2*cot(d*x+c)^3*(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)*cot(d*x+c)^4*(a+a*sin(d*x+c))^3","x",1],
["cot(d*x+c)^5*(a+a*sin(d*x+c))^3","x",1],
["cot(d*x+c)^5*csc(d*x+c)*(a+a*sin(d*x+c))^3","x",1],
["cot(d*x+c)^5*csc(d*x+c)^2*(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)*cot(d*x+c)^4*(a+a*sin(d*x+c))^4","x",1],
["cot(d*x+c)^5*(a+a*sin(d*x+c))^4","x",1],
["cot(d*x+c)^5*csc(d*x+c)*(a+a*sin(d*x+c))^4","x",1],
["cos(d*x+c)^5*sin(d*x+c)^3/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^5*sin(d*x+c)^2/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^5*sin(d*x+c)/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^4*cot(d*x+c)/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^3*cot(d*x+c)^2/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^2*cot(d*x+c)^3/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)*cot(d*x+c)^4/(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^5/(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^5*csc(d*x+c)/(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^5*csc(d*x+c)^2/(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^5*csc(d*x+c)^3/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^5*sin(d*x+c)^3/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^5*sin(d*x+c)^2/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^5*sin(d*x+c)/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^4*cot(d*x+c)/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^3*cot(d*x+c)^2/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^2*cot(d*x+c)^3/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)*cot(d*x+c)^4/(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^5/(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^5*csc(d*x+c)/(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^5*csc(d*x+c)^2/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^5*sin(d*x+c)^3/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^5*sin(d*x+c)^2/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^5*sin(d*x+c)/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^4*cot(d*x+c)/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^3*cot(d*x+c)^2/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^2*cot(d*x+c)^3/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)*cot(d*x+c)^4/(a+a*sin(d*x+c))^3","x",1],
["cot(d*x+c)^5/(a+a*sin(d*x+c))^3","x",1],
["cot(d*x+c)^5*csc(d*x+c)/(a+a*sin(d*x+c))^3","x",1],
["cot(d*x+c)^5/(a+a*sin(d*x+c))^4","x",1],
["cot(d*x+c)^5*csc(d*x+c)/(a+a*sin(d*x+c))^4","x",1],
["cos(d*x+c)^5*sin(d*x+c)^n*(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^5*sin(d*x+c)^n*(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^5*sin(d*x+c)^n*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^5*sin(d*x+c)^n/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^5*sin(d*x+c)^n/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^5*sin(d*x+c)^n/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^5*sin(d*x+c)^n/(a+a*sin(d*x+c))^4","x",1],
["cos(d*x+c)^6*sin(d*x+c)^4*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^6*sin(d*x+c)^3*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^6*sin(d*x+c)^2*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^6*sin(d*x+c)*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^5*cot(d*x+c)*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^4*cot(d*x+c)^2*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^3*cot(d*x+c)^3*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^2*cot(d*x+c)^4*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)*cot(d*x+c)^5*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^6*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^6*csc(d*x+c)*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^6*csc(d*x+c)^2*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^6*csc(d*x+c)^3*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^6*csc(d*x+c)^4*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^6*csc(d*x+c)^5*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^6*csc(d*x+c)^6*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^6*sin(d*x+c)^4*(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^6*sin(d*x+c)^3*(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^6*sin(d*x+c)^2*(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^6*sin(d*x+c)*(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^5*cot(d*x+c)*(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^4*cot(d*x+c)^2*(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^3*cot(d*x+c)^3*(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^2*cot(d*x+c)^4*(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)*cot(d*x+c)^5*(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^6*(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^6*csc(d*x+c)*(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^6*csc(d*x+c)^2*(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^6*csc(d*x+c)^3*(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^6*csc(d*x+c)^4*(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^6*csc(d*x+c)^5*(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^6*csc(d*x+c)^6*(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^6*csc(d*x+c)^7*(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^6*sin(d*x+c)^4*(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^6*sin(d*x+c)^3*(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^6*sin(d*x+c)^2*(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^6*sin(d*x+c)*(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^5*cot(d*x+c)*(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^4*cot(d*x+c)^2*(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^3*cot(d*x+c)^3*(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^2*cot(d*x+c)^4*(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)*cot(d*x+c)^5*(a+a*sin(d*x+c))^3","x",1],
["cot(d*x+c)^6*(a+a*sin(d*x+c))^3","x",1],
["cot(d*x+c)^6*csc(d*x+c)*(a+a*sin(d*x+c))^3","x",1],
["cot(d*x+c)^6*csc(d*x+c)^2*(a+a*sin(d*x+c))^3","x",1],
["cot(d*x+c)^6*csc(d*x+c)^3*(a+a*sin(d*x+c))^3","x",1],
["cot(d*x+c)^6*csc(d*x+c)^4*(a+a*sin(d*x+c))^3","x",1],
["cot(d*x+c)^6*csc(d*x+c)^5*(a+a*sin(d*x+c))^3","x",1],
["cot(d*x+c)^6*csc(d*x+c)^6*(a+a*sin(d*x+c))^3","x",1],
["cot(d*x+c)^6*csc(d*x+c)^7*(a+a*sin(d*x+c))^3","x",1],
["cot(d*x+c)^6*csc(d*x+c)^8*(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^2*cot(d*x+c)^4*(a+a*sin(d*x+c))^4","x",1],
["cos(d*x+c)^6*sin(d*x+c)^4/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^6*sin(d*x+c)^3/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^6*sin(d*x+c)^2/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^6*sin(d*x+c)/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^5*cot(d*x+c)/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^4*cot(d*x+c)^2/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^3*cot(d*x+c)^3/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^2*cot(d*x+c)^4/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)*cot(d*x+c)^5/(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^6/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^6*sin(d*x+c)^3/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^6*sin(d*x+c)^2/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^6*sin(d*x+c)/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^5*cot(d*x+c)/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^4*cot(d*x+c)^2/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^3*cot(d*x+c)^3/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^2*cot(d*x+c)^4/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)*cot(d*x+c)^5/(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^6/(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^6*csc(d*x+c)/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^6*sin(d*x+c)^3/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^6*sin(d*x+c)^2/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^6*sin(d*x+c)/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^5*cot(d*x+c)/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^4*cot(d*x+c)^2/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^3*cot(d*x+c)^3/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^2*cot(d*x+c)^4/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)*cot(d*x+c)^5/(a+a*sin(d*x+c))^3","x",1],
["cot(d*x+c)^6/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^6*sin(d*x+c)^n*(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^6*sin(d*x+c)^n*(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^6*sin(d*x+c)^n*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^7*sin(d*x+c)^6*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^7*sin(d*x+c)^5*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^7*sin(d*x+c)^4*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^7*sin(d*x+c)^3*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^7*sin(d*x+c)^2*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^7*sin(d*x+c)*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^6*cot(d*x+c)*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^5*cot(d*x+c)^2*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^4*cot(d*x+c)^3*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^3*cot(d*x+c)^4*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^2*cot(d*x+c)^5*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)*cot(d*x+c)^6*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^7*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^7*csc(d*x+c)*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^7*csc(d*x+c)^2*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^7*csc(d*x+c)^3*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^7*csc(d*x+c)^4*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^7*csc(d*x+c)^5*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^7*csc(d*x+c)^6*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^7*csc(d*x+c)^7*(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^7*csc(d*x+c)^8*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^7*sin(d*x+c)^6/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^7*sin(d*x+c)^5/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^7*sin(d*x+c)^4/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^7*sin(d*x+c)^3/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^7*sin(d*x+c)^2/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^7*sin(d*x+c)/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^7/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^6*cot(d*x+c)/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^5*cot(d*x+c)^2/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^4*cot(d*x+c)^3/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^3*cot(d*x+c)^4/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^2*cot(d*x+c)^5/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)*cot(d*x+c)^6/(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^7/(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^7*csc(d*x+c)/(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^7*csc(d*x+c)^2/(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^7*csc(d*x+c)^3/(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^7*csc(d*x+c)^4/(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^7*csc(d*x+c)^5/(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^7*csc(d*x+c)^6/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^7*sin(d*x+c)^n*(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^7*sin(d*x+c)^n*(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^7*sin(d*x+c)^n*(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^7*sin(d*x+c)^n/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^7*sin(d*x+c)^n/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^7*sin(d*x+c)^n/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^7*sin(d*x+c)^n/(a+a*sin(d*x+c))^4","x",1],
["cos(d*x+c)^7*sin(d*x+c)^n/(a+a*sin(d*x+c))^5","x",1],
["cos(d*x+c)^8*sin(d*x+c)^5/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^8*sin(d*x+c)^4/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^8*sin(d*x+c)^3/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^8*sin(d*x+c)^2/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^8*sin(d*x+c)/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^7*cot(d*x+c)/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^6*cot(d*x+c)^2/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^5*cot(d*x+c)^3/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^4*cot(d*x+c)^4/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^3*cot(d*x+c)^5/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^2*cot(d*x+c)^6/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)*cot(d*x+c)^7/(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^8/(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^8*csc(d*x+c)/(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^8*csc(d*x+c)^2/(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^8*csc(d*x+c)^3/(a+a*sin(d*x+c))","x",1],
["cot(d*x+c)^8*csc(d*x+c)^4/(a+a*sin(d*x+c))","x",1],
["cos(d*x+c)^8*sin(d*x+c)^5/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^8*sin(d*x+c)^4/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^8*sin(d*x+c)^3/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^8*sin(d*x+c)^2/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^8*sin(d*x+c)/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^7*cot(d*x+c)/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^6*cot(d*x+c)^2/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^5*cot(d*x+c)^3/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^4*cot(d*x+c)^4/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^3*cot(d*x+c)^5/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^2*cot(d*x+c)^6/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)*cot(d*x+c)^7/(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^8/(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^8*csc(d*x+c)/(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^8*csc(d*x+c)^2/(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^8*csc(d*x+c)^3/(a+a*sin(d*x+c))^2","x",1],
["cot(d*x+c)^8*csc(d*x+c)^4/(a+a*sin(d*x+c))^2","x",1],
["cos(d*x+c)^8*sin(d*x+c)^3/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^8*sin(d*x+c)^2/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^8*sin(d*x+c)/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^7*cot(d*x+c)/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^6*cot(d*x+c)^2/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^5*cot(d*x+c)^3/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^4*cot(d*x+c)^4/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^3*cot(d*x+c)^5/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)^2*cot(d*x+c)^6/(a+a*sin(d*x+c))^3","x",1],
["cos(d*x+c)*cot(d*x+c)^7/(a+a*sin(d*x+c))^3","x",1],
["cot(d*x+c)^8/(a+a*sin(d*x+c))^3","x",1],
["cot(d*x+c)^8*csc(d*x+c)/(a+a*sin(d*x+c))^3","x",1],
["sin(d*x+c)^2*(a+a*sin(d*x+c))*tan(d*x+c)^2","x",1],
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["(a+a*sin(d*x+c))*tan(d*x+c)^2","x",1],
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["cos(d*x+c)^3*(A+B*sin(d*x+c))/(a+a*sin(d*x+c))","x",1],
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["sec(d*x+c)^7*(A+B*sin(d*x+c))/(a+a*sin(d*x+c))","x",1],
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["cos(d*x+c)^3*(A+B*sin(d*x+c))/(a+a*sin(d*x+c))^2","x",1],
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["cos(f*x+e)^7*(a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))","x",1],
["cos(f*x+e)^5*(a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))","x",1],
["cos(f*x+e)^3*(a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))","x",1],
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["cos(f*x+e)^4*(a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))","x",1],
["cos(f*x+e)^2*(a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))","x",1],
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["cot(d*x+c)^2*csc(d*x+c)^2*(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^2*csc(d*x+c)^3*(a+b*sin(d*x+c))","x",1],
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["cot(d*x+c)^2*(a+b*sin(d*x+c))^3","x",1],
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["cot(d*x+c)^2*csc(d*x+c)^2*(a+b*sin(d*x+c))^3","x",1],
["cot(d*x+c)^2*csc(d*x+c)^3*(a+b*sin(d*x+c))^3","x",1],
["cot(d*x+c)^2*csc(d*x+c)^4*(a+b*sin(d*x+c))^3","x",1],
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["cos(d*x+c)^2*sin(d*x+c)^3/(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^2*sin(d*x+c)^2/(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^2*sin(d*x+c)/(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)*cot(d*x+c)/(a+b*sin(d*x+c))^2","x",1],
["cot(d*x+c)^2/(a+b*sin(d*x+c))^2","x",1],
["cot(d*x+c)^2*csc(d*x+c)/(a+b*sin(d*x+c))^2","x",1],
["cot(d*x+c)^2*csc(d*x+c)^2/(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^2*sin(d*x+c)^3/(a+b*sin(d*x+c))^3","x",1],
["cos(d*x+c)^2*sin(d*x+c)^2/(a+b*sin(d*x+c))^3","x",1],
["cos(d*x+c)^2*sin(d*x+c)/(a+b*sin(d*x+c))^3","x",1],
["cos(d*x+c)*cot(d*x+c)/(a+b*sin(d*x+c))^3","x",1],
["cot(d*x+c)^2/(a+b*sin(d*x+c))^3","x",1],
["cot(d*x+c)^2*csc(d*x+c)/(a+b*sin(d*x+c))^3","x",1],
["cos(f*x+e)^2/(d*sin(f*x+e))^(1/2)/(a+b*sin(f*x+e))^(5/2)","x",1],
["cos(d*x+c)^4*sin(d*x+c)^4*(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^4*sin(d*x+c)^3*(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^4*sin(d*x+c)^2*(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^4*sin(d*x+c)*(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^3*cot(d*x+c)*(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^2*cot(d*x+c)^2*(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)*cot(d*x+c)^3*(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^4*(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^4*csc(d*x+c)*(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^4*csc(d*x+c)^2*(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^4*csc(d*x+c)^3*(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^4*csc(d*x+c)^4*(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^4*csc(d*x+c)^5*(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^4*sin(d*x+c)^3*(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^4*sin(d*x+c)^2*(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^4*sin(d*x+c)*(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^3*cot(d*x+c)*(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^2*cot(d*x+c)^2*(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)*cot(d*x+c)^3*(a+b*sin(d*x+c))^2","x",1],
["cot(d*x+c)^4*(a+b*sin(d*x+c))^2","x",1],
["cot(d*x+c)^4*csc(d*x+c)*(a+b*sin(d*x+c))^2","x",1],
["cot(d*x+c)^4*csc(d*x+c)^2*(a+b*sin(d*x+c))^2","x",1],
["cot(d*x+c)^4*csc(d*x+c)^3*(a+b*sin(d*x+c))^2","x",1],
["cot(d*x+c)^4*csc(d*x+c)^4*(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^4*sin(d*x+c)^2*(a+b*sin(d*x+c))^3","x",1],
["cos(d*x+c)^4*sin(d*x+c)*(a+b*sin(d*x+c))^3","x",1],
["cos(d*x+c)^3*cot(d*x+c)*(a+b*sin(d*x+c))^3","x",1],
["cos(d*x+c)^2*cot(d*x+c)^2*(a+b*sin(d*x+c))^3","x",1],
["cos(d*x+c)*cot(d*x+c)^3*(a+b*sin(d*x+c))^3","x",1],
["cot(d*x+c)^4*(a+b*sin(d*x+c))^3","x",1],
["cot(d*x+c)^4*csc(d*x+c)*(a+b*sin(d*x+c))^3","x",1],
["cot(d*x+c)^4*csc(d*x+c)^2*(a+b*sin(d*x+c))^3","x",1],
["cot(d*x+c)^4*csc(d*x+c)^3*(a+b*sin(d*x+c))^3","x",1],
["cot(d*x+c)^4*csc(d*x+c)^4*(a+b*sin(d*x+c))^3","x",1],
["cot(d*x+c)^4*csc(d*x+c)^5*(a+b*sin(d*x+c))^3","x",1],
["cos(d*x+c)^4*sin(d*x+c)^3/(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^4*sin(d*x+c)^2/(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^4*sin(d*x+c)/(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^3*cot(d*x+c)/(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^2*cot(d*x+c)^2/(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)*cot(d*x+c)^3/(a+b*sin(d*x+c))^2","x",1],
["cot(d*x+c)^4/(a+b*sin(d*x+c))^2","x",1],
["cot(d*x+c)^4*csc(d*x+c)/(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^4*sin(d*x+c)^3/(a+b*sin(d*x+c))^3","x",1],
["cos(d*x+c)^4*sin(d*x+c)^2/(a+b*sin(d*x+c))^3","x",1],
["cos(d*x+c)^4*sin(d*x+c)/(a+b*sin(d*x+c))^3","x",1],
["cos(d*x+c)^3*cot(d*x+c)/(a+b*sin(d*x+c))^3","x",1],
["cos(d*x+c)^2*cot(d*x+c)^2/(a+b*sin(d*x+c))^3","x",1],
["cos(d*x+c)*cot(d*x+c)^3/(a+b*sin(d*x+c))^3","x",1],
["cot(d*x+c)^4/(a+b*sin(d*x+c))^3","x",1],
["cot(d*x+c)^4*csc(d*x+c)/(a+b*sin(d*x+c))^3","x",1],
["cos(d*x+c)^4*sin(d*x+c)^2*(a+b*sin(d*x+c))^(1/2)","x",1],
["cos(d*x+c)^4*sin(d*x+c)*(a+b*sin(d*x+c))^(1/2)","x",1],
["cos(d*x+c)^3*cot(d*x+c)*(a+b*sin(d*x+c))^(1/2)","x",1],
["cos(d*x+c)^2*cot(d*x+c)^2*(a+b*sin(d*x+c))^(1/2)","x",1],
["cos(d*x+c)*cot(d*x+c)^3*(a+b*sin(d*x+c))^(1/2)","x",1],
["cot(d*x+c)^4*(a+b*sin(d*x+c))^(1/2)","x",1],
["cot(d*x+c)^4*csc(d*x+c)*(a+b*sin(d*x+c))^(1/2)","x",1],
["cot(d*x+c)^4*csc(d*x+c)^2*(a+b*sin(d*x+c))^(1/2)","x",1],
["cos(d*x+c)^4*sin(d*x+c)^2*(a+b*sin(d*x+c))^(3/2)","x",1],
["cos(d*x+c)^4*sin(d*x+c)*(a+b*sin(d*x+c))^(3/2)","x",1],
["cos(d*x+c)^3*cot(d*x+c)*(a+b*sin(d*x+c))^(3/2)","x",1],
["cos(d*x+c)^2*cot(d*x+c)^2*(a+b*sin(d*x+c))^(3/2)","x",1],
["cos(d*x+c)*cot(d*x+c)^3*(a+b*sin(d*x+c))^(3/2)","x",1],
["cot(d*x+c)^4*(a+b*sin(d*x+c))^(3/2)","x",1],
["cot(d*x+c)^4*csc(d*x+c)*(a+b*sin(d*x+c))^(3/2)","x",1],
["cot(d*x+c)^4*csc(d*x+c)^2*(a+b*sin(d*x+c))^(3/2)","x",1],
["cot(d*x+c)^4*csc(d*x+c)^3*(a+b*sin(d*x+c))^(3/2)","x",1],
["cos(d*x+c)^4*sin(d*x+c)*(a+b*sin(d*x+c))^(5/2)","x",1],
["cos(d*x+c)^3*cot(d*x+c)*(a+b*sin(d*x+c))^(5/2)","x",1],
["cos(d*x+c)^2*cot(d*x+c)^2*(a+b*sin(d*x+c))^(5/2)","x",1],
["cos(d*x+c)*cot(d*x+c)^3*(a+b*sin(d*x+c))^(5/2)","x",1],
["cot(d*x+c)^4*(a+b*sin(d*x+c))^(5/2)","x",1],
["cot(d*x+c)^4*csc(d*x+c)*(a+b*sin(d*x+c))^(5/2)","x",1],
["cot(d*x+c)^4*csc(d*x+c)^2*(a+b*sin(d*x+c))^(5/2)","x",1],
["cot(d*x+c)^4*csc(d*x+c)^3*(a+b*sin(d*x+c))^(5/2)","x",1],
["cos(d*x+c)^4*sin(d*x+c)^3/(a+b*sin(d*x+c))^(1/2)","x",1],
["cos(d*x+c)^4*sin(d*x+c)^2/(a+b*sin(d*x+c))^(1/2)","x",1],
["cos(d*x+c)^4*sin(d*x+c)/(a+b*sin(d*x+c))^(1/2)","x",1],
["cos(d*x+c)^3*cot(d*x+c)/(a+b*sin(d*x+c))^(1/2)","x",1],
["cos(d*x+c)^2*cot(d*x+c)^2/(a+b*sin(d*x+c))^(1/2)","x",1],
["cos(d*x+c)*cot(d*x+c)^3/(a+b*sin(d*x+c))^(1/2)","x",1],
["cot(d*x+c)^4/(a+b*sin(d*x+c))^(1/2)","x",1],
["cot(d*x+c)^4*csc(d*x+c)/(a+b*sin(d*x+c))^(1/2)","x",1],
["cos(d*x+c)^4*sin(d*x+c)^3/(a+b*sin(d*x+c))^(3/2)","x",1],
["cos(d*x+c)^4*sin(d*x+c)^2/(a+b*sin(d*x+c))^(3/2)","x",1],
["cos(d*x+c)^4*sin(d*x+c)/(a+b*sin(d*x+c))^(3/2)","x",1],
["cos(d*x+c)^3*cot(d*x+c)/(a+b*sin(d*x+c))^(3/2)","x",1],
["cos(d*x+c)^2*cot(d*x+c)^2/(a+b*sin(d*x+c))^(3/2)","x",1],
["cos(d*x+c)*cot(d*x+c)^3/(a+b*sin(d*x+c))^(3/2)","x",1],
["cot(d*x+c)^4/(a+b*sin(d*x+c))^(3/2)","x",1],
["cos(d*x+c)^4*sin(d*x+c)^3/(a+b*sin(d*x+c))^(5/2)","x",1],
["cos(d*x+c)^4*sin(d*x+c)^2/(a+b*sin(d*x+c))^(5/2)","x",1],
["cos(d*x+c)^4*sin(d*x+c)/(a+b*sin(d*x+c))^(5/2)","x",1],
["cos(d*x+c)^3*cot(d*x+c)/(a+b*sin(d*x+c))^(5/2)","x",1],
["cos(d*x+c)^2*cot(d*x+c)^2/(a+b*sin(d*x+c))^(5/2)","x",1],
["cos(d*x+c)*cot(d*x+c)^3/(a+b*sin(d*x+c))^(5/2)","x",1],
["cot(d*x+c)^4/(a+b*sin(d*x+c))^(5/2)","x",1],
["cos(f*x+e)^4/(d*sin(f*x+e))^(1/2)/(a+b*sin(f*x+e))^(9/2)","x",1],
["cos(d*x+c)^4*sin(d*x+c)^(1/3)/(a+b*sin(d*x+c))^(1/2)","x",0],
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["cos(d*x+c)^4*sin(d*x+c)^(-3-p)*(a+b*sin(d*x+c))^p","x",0],
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["cos(d*x+c)^4*sin(d*x+c)^n*(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^4*sin(d*x+c)^n*(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^5*sin(d*x+c)^5*(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^5*sin(d*x+c)^4*(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^5*sin(d*x+c)^3*(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^5*sin(d*x+c)^2*(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^5*sin(d*x+c)*(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^4*cot(d*x+c)*(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^3*cot(d*x+c)^2*(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^2*cot(d*x+c)^3*(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)*cot(d*x+c)^4*(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^5*(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^5*csc(d*x+c)*(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^5*csc(d*x+c)^2*(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^5*csc(d*x+c)^3*(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^5*csc(d*x+c)^4*(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^5*csc(d*x+c)^5*(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^5*csc(d*x+c)^6*(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^5*csc(d*x+c)^7*(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^5*sin(d*x+c)^2*(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^5*sin(d*x+c)*(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^4*cot(d*x+c)*(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^3*cot(d*x+c)^2*(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^2*cot(d*x+c)^3*(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)*cot(d*x+c)^4*(a+b*sin(d*x+c))^2","x",1],
["cot(d*x+c)^5*(a+b*sin(d*x+c))^2","x",1],
["cot(d*x+c)^5*csc(d*x+c)*(a+b*sin(d*x+c))^2","x",1],
["cot(d*x+c)^5*csc(d*x+c)^2*(a+b*sin(d*x+c))^2","x",1],
["cot(d*x+c)^5*csc(d*x+c)^3*(a+b*sin(d*x+c))^2","x",1],
["cot(d*x+c)^5*csc(d*x+c)^4*(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^5*sin(d*x+c)^3/(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^5*sin(d*x+c)^2/(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^5*sin(d*x+c)/(a+b*sin(d*x+c))^2","x",1],
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["cos(d*x+c)^3*cot(d*x+c)^2/(a+b*sin(d*x+c))^2","x",1],
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["cos(d*x+c)*cot(d*x+c)^4/(a+b*sin(d*x+c))^2","x",1],
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["cot(d*x+c)^5*csc(d*x+c)/(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^5*sin(d*x+c)^n*(a+b*sin(d*x+c))^2","x",1],
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["cos(d*x+c)^2*cot(d*x+c)^4*(a+b*sin(d*x+c))^2","x",1],
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["cot(d*x+c)^6*csc(d*x+c)^2*(a+b*sin(d*x+c))^2","x",1],
["cot(d*x+c)^6*csc(d*x+c)^3*(a+b*sin(d*x+c))^2","x",1],
["cot(d*x+c)^6*csc(d*x+c)^4*(a+b*sin(d*x+c))^2","x",1],
["cot(d*x+c)^6*csc(d*x+c)^5*(a+b*sin(d*x+c))^2","x",1],
["cot(d*x+c)^6*csc(d*x+c)^6*(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^6*sin(d*x+c)^3/(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^6*sin(d*x+c)^2/(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^6*sin(d*x+c)/(a+b*sin(d*x+c))^2","x",1],
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["cos(d*x+c)^3*cot(d*x+c)^3/(a+b*sin(d*x+c))^2","x",1],
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["cot(d*x+c)^6/(a+b*sin(d*x+c))^2","x",1],
["cot(d*x+c)^6*csc(d*x+c)/(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^6*sin(d*x+c)^3/(a+b*sin(d*x+c))^3","x",1],
["cos(d*x+c)^6*sin(d*x+c)^2/(a+b*sin(d*x+c))^3","x",1],
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["cos(d*x+c)^3*cot(d*x+c)^3/(a+b*sin(d*x+c))^3","x",1],
["cos(d*x+c)^2*cot(d*x+c)^4/(a+b*sin(d*x+c))^3","x",1],
["cos(d*x+c)*cot(d*x+c)^5/(a+b*sin(d*x+c))^3","x",1],
["cot(d*x+c)^6/(a+b*sin(d*x+c))^3","x",1],
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["cos(f*x+e)^6/(d*sin(f*x+e))^(1/2)/(a+b*sin(f*x+e))^(13/2)","x",1],
["(a+b*sin(f*x+e))^2/(g*cos(f*x+e))^(5/2)/(d*sin(f*x+e))^(1/2)","x",1],
["(a+b*sin(f*x+e))^2/(g*cos(f*x+e))^(7/2)/(d*sin(f*x+e))^(1/2)","x",1],
["cos(d*x+c)*sin(d*x+c)^3/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)*sin(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)*sin(d*x+c)/(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)/(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)*csc(d*x+c)/(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)*csc(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^2*sin(d*x+c)^4/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^2*sin(d*x+c)^3/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^2*sin(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^2*sin(d*x+c)/(a+b*sin(d*x+c))","x",1],
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["cot(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^2*csc(d*x+c)/(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^2*csc(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^2*csc(d*x+c)^3/(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^2*csc(d*x+c)^4/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^3*sin(d*x+c)^3/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^3*sin(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^3*sin(d*x+c)/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^2*cot(d*x+c)/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)*cot(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^3/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^4*sin(d*x+c)^3/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^4*sin(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^4*sin(d*x+c)/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^3*cot(d*x+c)/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^2*cot(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)*cot(d*x+c)^3/(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^4/(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^4*csc(d*x+c)/(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^4*csc(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^5*sin(d*x+c)^3/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^5*sin(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^5*sin(d*x+c)/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^4*cot(d*x+c)/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^3*cot(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^2*cot(d*x+c)^3/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)*cot(d*x+c)^4/(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^5/(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^5*csc(d*x+c)/(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^5*csc(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^6*sin(d*x+c)^3/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^6*sin(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^6*sin(d*x+c)/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^5*cot(d*x+c)/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^4*cot(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^3*cot(d*x+c)^3/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^2*cot(d*x+c)^4/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)*cot(d*x+c)^5/(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^6/(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^6*csc(d*x+c)/(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^6*csc(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["cot(d*x+c)^6*csc(d*x+c)^3/(a+b*sin(d*x+c))","x",1],
["sin(d*x+c)^2*tan(d*x+c)/(a+b*sin(d*x+c))","x",1],
["sin(d*x+c)*tan(d*x+c)/(a+b*sin(d*x+c))","x",1],
["tan(d*x+c)/(a+b*sin(d*x+c))","x",1],
["csc(d*x+c)*sec(d*x+c)/(a+b*sin(d*x+c))","x",1],
["csc(d*x+c)^2*sec(d*x+c)/(a+b*sin(d*x+c))","x",1],
["csc(d*x+c)^3*sec(d*x+c)/(a+b*sin(d*x+c))","x",1],
["sin(d*x+c)^3*tan(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["sin(d*x+c)^2*tan(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["sin(d*x+c)*tan(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["tan(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["sec(d*x+c)*tan(d*x+c)/(a+b*sin(d*x+c))","x",1],
["csc(d*x+c)*sec(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["csc(d*x+c)^2*sec(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["csc(d*x+c)^3*sec(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["tan(d*x+c)^3/(a+b*sin(d*x+c))","x",1],
["sec(d*x+c)*tan(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["sec(d*x+c)^2*tan(d*x+c)/(a+b*sin(d*x+c))","x",1],
["csc(d*x+c)*sec(d*x+c)^3/(a+b*sin(d*x+c))","x",1],
["csc(d*x+c)^2*sec(d*x+c)^3/(a+b*sin(d*x+c))","x",1],
["csc(d*x+c)^3*sec(d*x+c)^3/(a+b*sin(d*x+c))","x",1],
["tan(d*x+c)^4/(a+b*sin(d*x+c))","x",1],
["sec(d*x+c)*tan(d*x+c)^3/(a+b*sin(d*x+c))","x",1],
["sec(d*x+c)^2*tan(d*x+c)^2/(a+b*sin(d*x+c))","x",1],
["sec(d*x+c)^3*tan(d*x+c)/(a+b*sin(d*x+c))","x",1],
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["cos(d*x+c)^7*(A+B*sin(d*x+c))/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^5*(A+B*sin(d*x+c))/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^3*(A+B*sin(d*x+c))/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)*(A+B*sin(d*x+c))/(a+b*sin(d*x+c))","x",1],
["sec(d*x+c)*(A+B*sin(d*x+c))/(a+b*sin(d*x+c))","x",1],
["sec(d*x+c)^3*(A+B*sin(d*x+c))/(a+b*sin(d*x+c))","x",1],
["sec(d*x+c)^5*(A+B*sin(d*x+c))/(a+b*sin(d*x+c))","x",1],
["sec(d*x+c)^7*(A+B*sin(d*x+c))/(a+b*sin(d*x+c))","x",1],
["cos(d*x+c)^7*(A+B*sin(d*x+c))/(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^5*(A+B*sin(d*x+c))/(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)^3*(A+B*sin(d*x+c))/(a+b*sin(d*x+c))^2","x",1],
["cos(d*x+c)*(A+B*sin(d*x+c))/(a+b*sin(d*x+c))^2","x",1],
["sec(d*x+c)*(A+B*sin(d*x+c))/(a+b*sin(d*x+c))^2","x",1],
["sec(d*x+c)^3*(A+B*sin(d*x+c))/(a+b*sin(d*x+c))^2","x",1],
["sec(d*x+c)^5*(A+B*sin(d*x+c))/(a+b*sin(d*x+c))^2","x",1],
["sec(d*x+c)^7*(A+B*sin(d*x+c))/(a+b*sin(d*x+c))^2","x",1],
["(g*cos(f*x+e))^(-1-m)*(a+b*sin(f*x+e))^m*(A+B*sin(f*x+e))","x",0],
["(g*cos(f*x+e))^p/(a+b*sin(f*x+e))/(c+d*sin(f*x+e))","x",1],
["(g*cos(f*x+e))^p/(a+b*sin(f*x+e))/(c+d*sin(f*x+e))^2","x",1],
["(g*sec(f*x+e))^p/(a+b*sin(f*x+e))/(c+d*sin(f*x+e))","x",1]]