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Integration of sin2x /sin^4x +cos^4x find the solution

Integration of sin2x /sin^4x +cos^4x find the solution

Grade:12

3 Answers

Arun
25758 Points
4 years ago
Divide throughout by cos^4x In numerator it becomes (2tanxsec^2x) and denominator becomes (tan^4x + 1) Now you can solve easily by substituting tan2x = u
Aryan Jain
15 Points
3 years ago
Convert the cos^4x in denominator into (1-sin^2x)^2 and simplify denominator. Take sin^2x =t and substitute it in the integral to get the answer.
Yash Chourasiya
askIITians Faculty 256 Points
2 years ago
Dear Student

Please see the solution in the attachment.
643-159_Untitled.png

I hope this answer will help you.
Thanks & Regards
Yash Chourasiya

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