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

Francisca Rodden

Francisca Rodden

Answered question

2022-01-17

Evaluate this integral 0π4cos2xcosx+sinxdx

Answer & Explanation

Kayla Kline

Kayla Kline

Beginner2022-01-18Added 37 answers

Hint: Notice, that:
0π4cos2xsin2xcosx+sinxdx=
=0π4(cosxsinx)(cosx+sinx)cosx+sinxdx=
=0π4(cosxsinx)dx

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