3.4 Integrals 301 to 400

\(\int (2 a-2 a \cos (d+e x)+2 c \sin (d+e x))^3 \, dx\) [301]
\(\int (2 a-2 a \cos (d+e x)+2 c \sin (d+e x))^2 \, dx\) [302]
\(\int (2 a-2 a \cos (d+e x)+2 c \sin (d+e x)) \, dx\) [303]
\(\int \genfrac {}{}{}{}{1}{2 a-2 a \cos (d+e x)+2 c \sin (d+e x)} \, dx\) [304]
\(\int \genfrac {}{}{}{}{1}{(2 a-2 a \cos (d+e x)+2 c \sin (d+e x))^2} \, dx\) [305]
\(\int \genfrac {}{}{}{}{1}{(2 a-2 a \cos (d+e x)+2 c \sin (d+e x))^3} \, dx\) [306]
\(\int \genfrac {}{}{}{}{1}{(2 a-2 a \cos (d+e x)+2 c \sin (d+e x))^4} \, dx\) [307]
\(\int (2 a+2 b \cos (d+e x)+2 a \sin (d+e x))^3 \, dx\) [308]
\(\int (2 a+2 b \cos (d+e x)+2 a \sin (d+e x))^2 \, dx\) [309]
\(\int (2 a+2 b \cos (d+e x)+2 a \sin (d+e x)) \, dx\) [310]
\(\int \genfrac {}{}{}{}{1}{2 a+2 b \cos (d+e x)+2 a \sin (d+e x)} \, dx\) [311]
\(\int \genfrac {}{}{}{}{1}{(2 a+2 b \cos (d+e x)+2 a \sin (d+e x))^2} \, dx\) [312]
\(\int \genfrac {}{}{}{}{1}{(2 a+2 b \cos (d+e x)+2 a \sin (d+e x))^3} \, dx\) [313]
\(\int \genfrac {}{}{}{}{1}{(2 a+2 b \cos (d+e x)+2 a \sin (d+e x))^4} \, dx\) [314]
\(\int (2 a+2 b \cos (d+e x)-2 a \sin (d+e x))^3 \, dx\) [315]
\(\int (2 a+2 b \cos (d+e x)-2 a \sin (d+e x))^2 \, dx\) [316]
\(\int (2 a+2 b \cos (d+e x)-2 a \sin (d+e x)) \, dx\) [317]
\(\int \genfrac {}{}{}{}{1}{2 a+2 b \cos (d+e x)-2 a \sin (d+e x)} \, dx\) [318]
\(\int \genfrac {}{}{}{}{1}{(2 a+2 b \cos (d+e x)-2 a \sin (d+e x))^2} \, dx\) [319]
\(\int \genfrac {}{}{}{}{1}{(2 a+2 b \cos (d+e x)-2 a \sin (d+e x))^3} \, dx\) [320]
\(\int \genfrac {}{}{}{}{1}{(2 a+2 b \cos (d+e x)-2 a \sin (d+e x))^4} \, dx\) [321]
\(\int (a+b \cos (d+e x)+c \sin (d+e x))^4 \, dx\) [322]
\(\int (a+b \cos (d+e x)+c \sin (d+e x))^3 \, dx\) [323]
\(\int (a+b \cos (d+e x)+c \sin (d+e x))^2 \, dx\) [324]
\(\int (a+b \cos (d+e x)+c \sin (d+e x)) \, dx\) [325]
\(\int \genfrac {}{}{}{}{1}{a+b \cos (d+e x)+c \sin (d+e x)} \, dx\) [326]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (d+e x)+c \sin (d+e x))^2} \, dx\) [327]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (d+e x)+c \sin (d+e x))^3} \, dx\) [328]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (d+e x)+c \sin (d+e x))^4} \, dx\) [329]
\(\int (2+3 \cos (d+e x)+5 \sin (d+e x))^{5/2} \, dx\) [330]
\(\int (2+3 \cos (d+e x)+5 \sin (d+e x))^{3/2} \, dx\) [331]
\(\int \sqrt {2+3 \cos (d+e x)+5 \sin (d+e x)} \, dx\) [332]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2+3 \cos (d+e x)+5 \sin (d+e x)}} \, dx\) [333]
\(\int \genfrac {}{}{}{}{1}{(2+3 \cos (d+e x)+5 \sin (d+e x))^{3/2}} \, dx\) [334]
\(\int \genfrac {}{}{}{}{1}{(2+3 \cos (d+e x)+5 \sin (d+e x))^{5/2}} \, dx\) [335]
\(\int \genfrac {}{}{}{}{1}{(2+3 \cos (d+e x)+5 \sin (d+e x))^{7/2}} \, dx\) [336]
\(\int (a+b \cos (d+e x)+c \sin (d+e x))^{5/2} \, dx\) [337]
\(\int (a+b \cos (d+e x)+c \sin (d+e x))^{3/2} \, dx\) [338]
\(\int \sqrt {a+b \cos (d+e x)+c \sin (d+e x)} \, dx\) [339]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \cos (d+e x)+c \sin (d+e x)}} \, dx\) [340]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (d+e x)+c \sin (d+e x))^{3/2}} \, dx\) [341]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (d+e x)+c \sin (d+e x))^{5/2}} \, dx\) [342]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (d+e x)+c \sin (d+e x))^{7/2}} \, dx\) [343]
\(\int (5+4 \cos (d+e x)+3 \sin (d+e x))^{5/2} \, dx\) [344]
\(\int (5+4 \cos (d+e x)+3 \sin (d+e x))^{3/2} \, dx\) [345]
\(\int \sqrt {5+4 \cos (d+e x)+3 \sin (d+e x)} \, dx\) [346]
\(\int \genfrac {}{}{}{}{1}{\sqrt {5+4 \cos (d+e x)+3 \sin (d+e x)}} \, dx\) [347]
\(\int \genfrac {}{}{}{}{1}{(5+4 \cos (d+e x)+3 \sin (d+e x))^{3/2}} \, dx\) [348]
\(\int \genfrac {}{}{}{}{1}{(5+4 \cos (d+e x)+3 \sin (d+e x))^{5/2}} \, dx\) [349]
\(\int (-5+4 \cos (d+e x)+3 \sin (d+e x))^{7/2} \, dx\) [350]
\(\int (-5+4 \cos (d+e x)+3 \sin (d+e x))^{5/2} \, dx\) [351]
\(\int (-5+4 \cos (d+e x)+3 \sin (d+e x))^{3/2} \, dx\) [352]
\(\int \sqrt {-5+4 \cos (d+e x)+3 \sin (d+e x)} \, dx\) [353]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-5+4 \cos (d+e x)+3 \sin (d+e x)}} \, dx\) [354]
\(\int \genfrac {}{}{}{}{1}{(-5+4 \cos (d+e x)+3 \sin (d+e x))^{3/2}} \, dx\) [355]
\(\int \genfrac {}{}{}{}{1}{(-5+4 \cos (d+e x)+3 \sin (d+e x))^{5/2}} \, dx\) [356]
\(\int (\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^{7/2} \, dx\) [357]
\(\int (\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^{5/2} \, dx\) [358]
\(\int (\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^{3/2} \, dx\) [359]
\(\int \sqrt {\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)} \, dx\) [360]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)}} \, dx\) [361]
\(\int \genfrac {}{}{}{}{1}{(\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^{3/2}} \, dx\) [362]
\(\int \genfrac {}{}{}{}{1}{(\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^{5/2}} \, dx\) [363]
\(\int (-\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^{5/2} \, dx\) [364]
\(\int (-\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^{3/2} \, dx\) [365]
\(\int \sqrt {-\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)} \, dx\) [366]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)}} \, dx\) [367]
\(\int \genfrac {}{}{}{}{1}{(-\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^{3/2}} \, dx\) [368]
\(\int \genfrac {}{}{}{}{1}{(-\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x))^{5/2}} \, dx\) [369]
\(\int \genfrac {}{}{}{}{\sin (x)}{a+b \cos (x)+c \sin (x)} \, dx\) [370]
\(\int \genfrac {}{}{}{}{\sin (x)}{1+\cos (x)+\sin (x)} \, dx\) [371]
\(\int \genfrac {}{}{}{}{1}{a+c \sec (x)+b \tan (x)} \, dx\) [372]
\(\int \genfrac {}{}{}{}{\sec (x)}{a+c \sec (x)+b \tan (x)} \, dx\) [373]
\(\int \genfrac {}{}{}{}{\sec ^2(x)}{a+c \sec (x)+b \tan (x)} \, dx\) [374]
\(\int \genfrac {}{}{}{}{(a+b \sec (d+e x)+c \tan (d+e x))^{3/2}}{\sec ^{\genfrac {}{}{}{}{3}{2}}(d+e x)} \, dx\) [375]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sec (d+e x)+c \tan (d+e x)}}{\sqrt {\sec (d+e x)}} \, dx\) [376]
\(\int \genfrac {}{}{}{}{\sqrt {\sec (d+e x)}}{\sqrt {a+b \sec (d+e x)+c \tan (d+e x)}} \, dx\) [377]
\(\int \genfrac {}{}{}{}{\sec ^{\genfrac {}{}{}{}{3}{2}}(d+e x)}{(a+b \sec (d+e x)+c \tan (d+e x))^{3/2}} \, dx\) [378]
\(\int \genfrac {}{}{}{}{\sec ^{\genfrac {}{}{}{}{5}{2}}(d+e x)}{(a+b \sec (d+e x)+c \tan (d+e x))^{5/2}} \, dx\) [379]
\(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(d+e x) (a+b \sec (d+e x)+c \tan (d+e x))^{3/2} \, dx\) [380]
\(\int \sqrt {\cos (d+e x)} \sqrt {a+b \sec (d+e x)+c \tan (d+e x)} \, dx\) [381]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\cos (d+e x)} \sqrt {a+b \sec (d+e x)+c \tan (d+e x)}} \, dx\) [382]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{3}{2}}(d+e x) (a+b \sec (d+e x)+c \tan (d+e x))^{3/2}} \, dx\) [383]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{5}{2}}(d+e x) (a+b \sec (d+e x)+c \tan (d+e x))^{5/2}} \, dx\) [384]
\(\int \genfrac {}{}{}{}{1}{a+b \cot (x)+c \csc (x)} \, dx\) [385]
\(\int \genfrac {}{}{}{}{\csc (x)}{a+b \cot (x)+c \csc (x)} \, dx\) [386]
\(\int \genfrac {}{}{}{}{\csc ^2(x)}{a+b \cot (x)+c \csc (x)} \, dx\) [387]
\(\int \genfrac {}{}{}{}{\csc (x)}{2+2 \cot (x)+3 \csc (x)} \, dx\) [388]
\(\int \genfrac {}{}{}{}{(a+c \cot (d+e x)+b \csc (d+e x))^{3/2}}{\csc ^{\genfrac {}{}{}{}{3}{2}}(d+e x)} \, dx\) [389]
\(\int \genfrac {}{}{}{}{\sqrt {a+c \cot (d+e x)+b \csc (d+e x)}}{\sqrt {\csc (d+e x)}} \, dx\) [390]
\(\int \genfrac {}{}{}{}{\sqrt {\csc (d+e x)}}{\sqrt {a+c \cot (d+e x)+b \csc (d+e x)}} \, dx\) [391]
\(\int \genfrac {}{}{}{}{\csc ^{\genfrac {}{}{}{}{3}{2}}(d+e x)}{(a+c \cot (d+e x)+b \csc (d+e x))^{3/2}} \, dx\) [392]
\(\int \genfrac {}{}{}{}{\csc ^{\genfrac {}{}{}{}{5}{2}}(d+e x)}{(a+c \cot (d+e x)+b \csc (d+e x))^{5/2}} \, dx\) [393]
\(\int (a+c \cot (d+e x)+b \csc (d+e x))^{3/2} \sin ^{\genfrac {}{}{}{}{3}{2}}(d+e x) \, dx\) [394]
\(\int \sqrt {a+c \cot (d+e x)+b \csc (d+e x)} \sqrt {\sin (d+e x)} \, dx\) [395]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+c \cot (d+e x)+b \csc (d+e x)} \sqrt {\sin (d+e x)}} \, dx\) [396]
\(\int \genfrac {}{}{}{}{1}{(a+c \cot (d+e x)+b \csc (d+e x))^{3/2} \sin ^{\genfrac {}{}{}{}{3}{2}}(d+e x)} \, dx\) [397]
\(\int \genfrac {}{}{}{}{1}{(a+c \cot (d+e x)+b \csc (d+e x))^{5/2} \sin ^{\genfrac {}{}{}{}{5}{2}}(d+e x)} \, dx\) [398]
\(\int \genfrac {}{}{}{}{1}{\cos ^2(x)+\sin ^2(x)} \, dx\) [399]
\(\int \genfrac {}{}{}{}{1}{(\cos ^2(x)+\sin ^2(x))^2} \, dx\) [400]