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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫tan⁡4x dx=Atan⁡3x+Btan⁡x+f(x)\int \tan ^4 x \,d x=A \tan ^3 x+B \tan x+f(x), then
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Correct option: A
A=13,B=−1,f(x)=x+CA=\frac{1}{3}, B=-1, f(x)=x+C
Option A is correct because by integrating tan⁡4x\tan^4 x, we find that A=13,B=−1,f(x)=x+CA=\frac{1}{3}, B=-1, f(x)=x+C.

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