Integrate \int \frac{\sin x \cos x}{\sin^4x + \cos^4x} dx

airesex2

airesex2

Answered question

2022-04-22

Integrate sinxcosxsin4x+cos4xdx

Answer & Explanation

elseptimopc7

elseptimopc7

Beginner2022-04-23Added 14 answers

sinxcosxsin4x+cos4x=sin2x2(12sin2xcos2x)=sin2x2(1cos2x)(1+cos2x)
Substitute u=cos2x to get
12du1+u2=12arctanu=12arctan(cos2x)

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