Semester 2.. Adv-2

41. The value of ∫ {x .tanx . secx }/(tanx-x)2

In the answer key answer is given as A...whereas i think it should be B????????????

1 Answers

229
Dwijaraj Paul Chowdhury ·

=> ∫xsinxcos2(sin xcos x- x)2

=> ∫xsinx(sinx-xcosx)2

Put sin x- xcosx = t
dt= xsinx dx

=> ∫ dtt2
=> -1sin x-xcosx +C
Hence option B is correct O.O o.O

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