3.10.1 \(\int \genfrac {}{}{}{}{\cos (x) (9-7 \sin ^3(x))^2}{1-\sin ^2(x)} \, dx\) [901]
3.10.2 \(\int \cos ^4(2 x) \cot ^5(2 x) \, dx\) [902]
3.10.3 \(\int \genfrac {}{}{}{}{\sec (x) \tan ^2(x)}{4+3 \sec (x)} \, dx\) [903]
3.10.4 \(\int x \sec (1+x) \tan (1+x) \, dx\) [904]
3.10.5 \(\int \genfrac {}{}{}{}{\sin (2 x)}{\sqrt {9-\sin ^2(x)}} \, dx\) [905]
3.10.6 \(\int \genfrac {}{}{}{}{\sin (2 x)}{\sqrt {9-\cos ^4(x)}} \, dx\) [906]
3.10.7 \(\int \genfrac {}{}{}{}{\cos (\genfrac {}{}{}{}{1}{x})}{x^5} \, dx\) [907]
3.10.8 \(\int \cos ^3(1+x) \sin ^3(1+x) \, dx\) [908]
3.10.9 \(\int (1+2 x)^3 \sin ^2(1+2 x) \, dx\) [909]
3.10.10 \(\int \genfrac {}{}{}{}{-1+\sec (x)}{1-\tan (x)} \, dx\) [910]
3.10.11 \(\int x^2 \cos (3 x) \cos (5 x) \, dx\) [911]
3.10.12 \(\int \genfrac {}{}{}{}{\cos (x)+\sin (x)}{\sqrt {\cos (x)} \sqrt {\sin (x)}} \, dx\) [912]
3.10.13 \(\int \sec ^2(x) (1+\sin (x)) \, dx\) [913]
3.10.14 \(\int (10 x^9 \cos (x^5 \log (x))-x^{10} (x^4+5 x^4 \log (x)) \sin (x^5 \log (x))) \, dx\) [914]
3.10.15 \(\int \cos ^2(\genfrac {}{}{}{}{x}{2}) \tan (\genfrac {}{}{}{}{\pi }{4}+\genfrac {}{}{}{}{x}{2}) \, dx\) [915]
3.10.16 \(\int (2+3 x)^2 \sin ^3(x) \, dx\) [916]
3.10.17 \(\int \sec ^{1+m}(x) \sin (x) \, dx\) [917]
3.10.18 \(\int \cos ^n(a+b x) \sin ^{-2-n}(a+b x) \, dx\) [918]
3.10.19 \(\int \genfrac {}{}{}{}{1}{\sec (x)+\sin (x) \tan (x)} \, dx\) [919]
3.10.20 \(\int (a+b x+c x^2) \sin (x) \, dx\) [920]
3.10.21 \(\int \genfrac {}{}{}{}{\sin (x^5)}{x} \, dx\) [921]
3.10.22 \(\int \genfrac {}{}{}{}{\sin (2^x)}{1+2^x} \, dx\) [922]
3.10.23 \(\int x \cos (2 x^2) \sin ^{\genfrac {}{}{}{}{3}{4}}(2 x^2) \, dx\) [923]
3.10.24 \(\int x \sec ^2(x^2) \tan ^2(x^2) \, dx\) [924]
3.10.25 \(\int x^2 \cos ^7(a+b x^3) \sin (a+b x^3) \, dx\) [925]
3.10.26 \(\int x^5 \cos ^7(a+b x^3) \sin (a+b x^3) \, dx\) [926]
3.10.27 \(\int x^5 \sec ^7(a+b x^3) \tan (a+b x^3) \, dx\) [927]
3.10.28 \(\int \genfrac {}{}{}{}{\sec ^2(\genfrac {}{}{}{}{1}{x})}{x^2} \, dx\) [928]
3.10.29 \(\int 3 x^2 \cos (x^3) \, dx\) [929]
3.10.30 \(\int (1+2 x) \sec ^2(1+2 x) \, dx\) [930]
3.10.31 \(\int (\genfrac {}{}{}{}{x^4}{b \sqrt {x^3+3 \sin (a+b x)}}+\genfrac {}{}{}{}{x^2 \cos (a+b x)}{\sqrt {x^3+3 \sin (a+b x)}}+\genfrac {}{}{}{}{4 x \sqrt {x^3+3 \sin (a+b x)}}{3 b}) \, dx\) [931]
3.10.32 \(\int \genfrac {}{}{}{}{x^2 \cos (a+b x)}{\sqrt {x^3+3 \sin (a+b x)}} \, dx\) [932]
3.10.33 \(\int \genfrac {}{}{}{}{\cos (x)+\sin (x)}{e^{-x}+\sin (x)} \, dx\) [933]
3.10.34 \(\int \sin (c+d x) (a \sin ^2(c+d x)+b \sin ^3(c+d x)) \, dx\) [934]
3.10.35 \(\int \sin (c+d x) (a \sin ^2(c+d x)+b \sin ^3(c+d x))^2 \, dx\) [935]
3.10.36 \(\int \sin (c+d x) (a \sin (c+d x)+b \sin ^2(c+d x)+c \sin ^3(c+d x)) \, dx\) [936]
3.10.37 \(\int \sin (c+d x) (a \sin (c+d x)+b \sin ^2(c+d x)+c \sin ^3(c+d x))^2 \, dx\) [937]
3.10.38 \(\int \sin (c+d x) (a+\genfrac {}{}{}{}{b}{\sqrt {\sin (c+d x)}}+c \sin (c+d x)) \, dx\) [938]
3.10.39 \(\int \sin (c+d x) (a+\genfrac {}{}{}{}{b}{\sqrt {\sin (c+d x)}}+c \sin (c+d x))^2 \, dx\) [939]
3.10.40 \(\int f^{a+b x} (\cos (c+d x)+i \sin (c+d x))^n \, dx\) [940]
3.10.41 \(\int f^{a+b x} (\cos (c+d x)-i \sin (c+d x))^n \, dx\) [941]
3.10.42 \(\int \genfrac {}{}{}{}{\cos ^5(a+b x)-\sin ^5(a+b x)}{\cos ^5(a+b x)+\sin ^5(a+b x)} \, dx\) [942]
3.10.43 \(\int \genfrac {}{}{}{}{\cos ^4(a+b x)-\sin ^4(a+b x)}{\cos ^4(a+b x)+\sin ^4(a+b x)} \, dx\) [943]
3.10.44 \(\int \genfrac {}{}{}{}{\cos ^3(a+b x)-\sin ^3(a+b x)}{\cos ^3(a+b x)+\sin ^3(a+b x)} \, dx\) [944]
3.10.45 \(\int \genfrac {}{}{}{}{\cos ^2(a+b x)-\sin ^2(a+b x)}{\cos ^2(a+b x)+\sin ^2(a+b x)} \, dx\) [945]
3.10.46 \(\int \genfrac {}{}{}{}{\cos (a+b x)-\sin (a+b x)}{\cos (a+b x)+\sin (a+b x)} \, dx\) [946]
3.10.47 \(\int \genfrac {}{}{}{}{-\csc (a+b x)+\sec (a+b x)}{\csc (a+b x)+\sec (a+b x)} \, dx\) [947]
3.10.48 \(\int \genfrac {}{}{}{}{-\csc ^2(a+b x)+\sec ^2(a+b x)}{\csc ^2(a+b x)+\sec ^2(a+b x)} \, dx\) [948]
3.10.49 \(\int \genfrac {}{}{}{}{-\csc ^3(a+b x)+\sec ^3(a+b x)}{\csc ^3(a+b x)+\sec ^3(a+b x)} \, dx\) [949]
3.10.50 \(\int \genfrac {}{}{}{}{-\csc ^4(a+b x)+\sec ^4(a+b x)}{\csc ^4(a+b x)+\sec ^4(a+b x)} \, dx\) [950]