Hint: Replace sin4x to 2(2sinx cosx)cos2x – sin2x. Multiply cosx to numberator and denomenator, Cancel sinx, replacecos2x by 1 – sin2x. Put sinx = t. You the partial fraction method to solve ahead. Substitute of value of t back. Thanks.

Grade 12Integral Calculus

∫(sinx/sin4x) dx

priyam

11 Years agoGrade 12

2 Answers

Vijay Mukati

11 Years ago

Hint: Replace sin4x to 2(2sinx cosx)cos²x – sin²x. Multiply cosx to numberator and denomenator, Cancel sinx, replacecos²x by 1 – sin²x. Put sinx = t. You the partial fraction method to solve ahead. Substitute of value of t back. Thanks.