Evaluate this integral \int_0^{\frac{\pi}{4}} \frac{\cos 2x}{\cos x+\sin x}dx

Francisca Rodden 2022-01-17 Answered
Evaluate this integral 0π4cos2xcosx+sinxdx
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Expert Answer

Kayla Kline
Answered 2022-01-18 Author has 37 answers
Hint: Notice, that:
0π4cos2xsin2xcosx+sinxdx=
=0π4(cosxsinx)(cosx+sinx)cosx+sinxdx=
=0π4(cosxsinx)dx
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