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∫tan 4 (x)dx=y(say) compute y and then show d/dx (y)=tan^4(x)

∫tan4(x)dx=y(say)


compute y and then show d/dx (y)=tan^4(x)

Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago
Dear araku y = ?tan^4(x)dx = ?tan^2(x){sec^2(x) -1}dx = ?tan^2(x){sec^2(x)}dx - ?tan^2(x)dx = ?tan^2(x){sec^2(x)}dx - ?sec^2(x)dx + ?dx for first integral put tanx =t so sec^2x dx =dt y = tan^3 x /3 - tanx + x +C Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE preparation. All the best. Regards, Askiitians Experts Badiuddin

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