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Q:- ∫(cos -3/7 x)(sin -11/7 x) dx

Q:-  ∫(cos -3/7x)(sin-11/7x) dx

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

Dear Tapasranjan

∫(cos -3/7x)(sin-11/7x) dx

∫(cos -14/7x)(cos 11/7x)(sin-11/7x) dx

∫(cos -14/7x)(cos 11/7x)(sin-11/7x) dx

∫(cos -2x)(cos 11/7x)/(sin11/7x) dx

∫sec 2x/tan11/7x    dx

let  tanx =t

   sec2x dx =dt

∫1/t11/7    dt

= -(7/4)  t-4/7x  +c

=-7/4tan4/7x  +c

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