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3.3
Integrals 201 to 300
\(\int \genfrac {}{}{}{}{1+\sin ^2(x)}{1-\sin ^2(x)} \, dx\) [201]
\(\int \genfrac {}{}{}{}{1-\sin ^2(x)}{1+\sin ^2(x)} \, dx\) [202]
\(\int \genfrac {}{}{}{}{1+\cos ^2(x)}{1-\cos ^2(x)} \, dx\) [203]
\(\int \genfrac {}{}{}{}{1-\cos ^2(x)}{1+\cos ^2(x)} \, dx\) [204]
\(\int \genfrac {}{}{}{}{-1+\genfrac {}{}{}{}{c^2}{d^2}+\sin ^2(x)}{c+d \cos (x)} \, dx\) [205]
\(\int \genfrac {}{}{}{}{a+b \sin ^2(x)}{c+d \cos (x)} \, dx\) [206]
\(\int \genfrac {}{}{}{}{a+b \sin ^2(x)}{c+c \cos ^2(x)} \, dx\) [207]
\(\int \genfrac {}{}{}{}{a+b \sin ^2(x)}{c-c \cos ^2(x)} \, dx\) [208]
\(\int \genfrac {}{}{}{}{a+b \sin ^2(x)}{c+d \cos ^2(x)} \, dx\) [209]
\(\int \genfrac {}{}{}{}{-1+\genfrac {}{}{}{}{c^2}{d^2}+\cos ^2(x)}{c+d \sin (x)} \, dx\) [210]
\(\int \genfrac {}{}{}{}{a+b \cos ^2(x)}{c+d \sin (x)} \, dx\) [211]
\(\int \genfrac {}{}{}{}{a+b \cos ^2(x)}{c+c \sin ^2(x)} \, dx\) [212]
\(\int \genfrac {}{}{}{}{a+b \cos ^2(x)}{c-c \sin ^2(x)} \, dx\) [213]
\(\int \genfrac {}{}{}{}{a+b \cos ^2(x)}{c+d \sin ^2(x)} \, dx\) [214]
\(\int \genfrac {}{}{}{}{a+b \sec ^2(x)}{c+d \cos (x)} \, dx\) [215]
\(\int \genfrac {}{}{}{}{a+b \csc ^2(x)}{c+d \sin (x)} \, dx\) [216]
\(\int (a \cos (c+d x)+b \sin (c+d x))^n \, dx\) [217]
\(\int (2 \cos (c+d x)+3 \sin (c+d x))^n \, dx\) [218]
\(\int (a \cos (c+d x)+b \sin (c+d x))^7 \, dx\) [219]
\(\int (a \cos (c+d x)+b \sin (c+d x))^6 \, dx\) [220]
\(\int (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\) [221]
\(\int (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\) [222]
\(\int (a \cos (c+d x)+b \sin (c+d x))^3 \, dx\) [223]
\(\int (a \cos (c+d x)+b \sin (c+d x))^2 \, dx\) [224]
\(\int (a \cos (c+d x)+b \sin (c+d x)) \, dx\) [225]
\(\int \genfrac {}{}{}{}{1}{a \cos (c+d x)+b \sin (c+d x)} \, dx\) [226]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\) [227]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\) [228]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\) [229]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+b \sin (c+d x))^5} \, dx\) [230]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+b \sin (c+d x))^6} \, dx\) [231]
\(\int (a \cos (c+d x)+b \sin (c+d x))^{7/2} \, dx\) [232]
\(\int (a \cos (c+d x)+b \sin (c+d x))^{5/2} \, dx\) [233]
\(\int (a \cos (c+d x)+b \sin (c+d x))^{3/2} \, dx\) [234]
\(\int \sqrt {a \cos (c+d x)+b \sin (c+d x)} \, dx\) [235]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a \cos (c+d x)+b \sin (c+d x)}} \, dx\) [236]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+b \sin (c+d x))^{3/2}} \, dx\) [237]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+b \sin (c+d x))^{5/2}} \, dx\) [238]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+b \sin (c+d x))^{7/2}} \, dx\) [239]
\(\int (2 \cos (c+d x)+3 \sin (c+d x))^{7/2} \, dx\) [240]
\(\int (2 \cos (c+d x)+3 \sin (c+d x))^{5/2} \, dx\) [241]
\(\int (2 \cos (c+d x)+3 \sin (c+d x))^{3/2} \, dx\) [242]
\(\int \sqrt {2 \cos (c+d x)+3 \sin (c+d x)} \, dx\) [243]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2 \cos (c+d x)+3 \sin (c+d x)}} \, dx\) [244]
\(\int \genfrac {}{}{}{}{1}{(2 \cos (c+d x)+3 \sin (c+d x))^{3/2}} \, dx\) [245]
\(\int \genfrac {}{}{}{}{1}{(2 \cos (c+d x)+3 \sin (c+d x))^{5/2}} \, dx\) [246]
\(\int \genfrac {}{}{}{}{1}{(2 \cos (c+d x)+3 \sin (c+d x))^{7/2}} \, dx\) [247]
\(\int (a \cos (c+d x)+i a \sin (c+d x))^n \, dx\) [248]
\(\int (a \cos (c+d x)+i a \sin (c+d x))^4 \, dx\) [249]
\(\int (a \cos (c+d x)+i a \sin (c+d x))^3 \, dx\) [250]
\(\int (a \cos (c+d x)+i a \sin (c+d x))^2 \, dx\) [251]
\(\int (a \cos (c+d x)+i a \sin (c+d x)) \, dx\) [252]
\(\int \genfrac {}{}{}{}{1}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\) [253]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\) [254]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\) [255]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+i a \sin (c+d x))^4} \, dx\) [256]
\(\int (a \cos (c+d x)+i a \sin (c+d x))^{5/2} \, dx\) [257]
\(\int (a \cos (c+d x)+i a \sin (c+d x))^{3/2} \, dx\) [258]
\(\int \sqrt {a \cos (c+d x)+i a \sin (c+d x)} \, dx\) [259]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a \cos (c+d x)+i a \sin (c+d x)}} \, dx\) [260]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+i a \sin (c+d x))^{3/2}} \, dx\) [261]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+i a \sin (c+d x))^{5/2}} \, dx\) [262]
\(\int (a \sec (x)+b \tan (x))^5 \, dx\) [263]
\(\int (a \sec (x)+b \tan (x))^4 \, dx\) [264]
\(\int (a \sec (x)+b \tan (x))^3 \, dx\) [265]
\(\int (a \sec (x)+b \tan (x))^2 \, dx\) [266]
\(\int (a \sec (x)+b \tan (x)) \, dx\) [267]
\(\int \genfrac {}{}{}{}{1}{a \sec (x)+b \tan (x)} \, dx\) [268]
\(\int \genfrac {}{}{}{}{1}{(a \sec (x)+b \tan (x))^2} \, dx\) [269]
\(\int \genfrac {}{}{}{}{1}{(a \sec (x)+b \tan (x))^3} \, dx\) [270]
\(\int \genfrac {}{}{}{}{1}{(a \sec (x)+b \tan (x))^4} \, dx\) [271]
\(\int \genfrac {}{}{}{}{1}{(a \sec (x)+b \tan (x))^5} \, dx\) [272]
\(\int (\sec (x)+\tan (x))^5 \, dx\) [273]
\(\int (\sec (x)+\tan (x))^4 \, dx\) [274]
\(\int (\sec (x)+\tan (x))^3 \, dx\) [275]
\(\int (\sec (x)+\tan (x))^2 \, dx\) [276]
\(\int (\sec (x)+\tan (x)) \, dx\) [277]
\(\int \genfrac {}{}{}{}{1}{\sec (x)+\tan (x)} \, dx\) [278]
\(\int \genfrac {}{}{}{}{1}{(\sec (x)+\tan (x))^2} \, dx\) [279]
\(\int \genfrac {}{}{}{}{1}{(\sec (x)+\tan (x))^3} \, dx\) [280]
\(\int \genfrac {}{}{}{}{1}{(\sec (x)+\tan (x))^4} \, dx\) [281]
\(\int \genfrac {}{}{}{}{1}{(\sec (x)+\tan (x))^5} \, dx\) [282]
\(\int (a \cot (x)+b \csc (x))^5 \, dx\) [283]
\(\int (a \cot (x)+b \csc (x))^4 \, dx\) [284]
\(\int (a \cot (x)+b \csc (x))^3 \, dx\) [285]
\(\int (a \cot (x)+b \csc (x))^2 \, dx\) [286]
\(\int (a \cot (x)+b \csc (x)) \, dx\) [287]
\(\int \genfrac {}{}{}{}{1}{a \cot (x)+b \csc (x)} \, dx\) [288]
\(\int \genfrac {}{}{}{}{1}{(a \cot (x)+b \csc (x))^2} \, dx\) [289]
\(\int \genfrac {}{}{}{}{1}{(a \cot (x)+b \csc (x))^3} \, dx\) [290]
\(\int \genfrac {}{}{}{}{1}{(a \cot (x)+b \csc (x))^4} \, dx\) [291]
\(\int \genfrac {}{}{}{}{1}{(a \cot (x)+b \csc (x))^5} \, dx\) [292]
\(\int (\cot (x)+\csc (x))^5 \, dx\) [293]
\(\int (\cot (x)+\csc (x))^4 \, dx\) [294]
\(\int (\cot (x)+\csc (x))^3 \, dx\) [295]
\(\int (\cot (x)+\csc (x))^2 \, dx\) [296]
\(\int (\cot (x)+\csc (x)) \, dx\) [297]
\(\int \genfrac {}{}{}{}{1}{\cot (x)+\csc (x)} \, dx\) [298]
\(\int \genfrac {}{}{}{}{1}{(\cot (x)+\csc (x))^2} \, dx\) [299]
\(\int \genfrac {}{}{}{}{1}{(\cot (x)+\csc (x))^3} \, dx\) [300]
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