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Integrate the following:

\(\int_0^{\pi/4} \log(\sin x+\cos x) \, dx\)

Note by Anirudha Nayak 3 years, 6 months ago

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Hint :

\[\sin x +\cos x=\sqrt{2}\sin\left(x+\frac{\pi}{4}\right).\]

From this point, it should be easy. – Tunk-Fey Ariawan · 3 years, 6 months ago

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I know it! i gave it just as a NOTE – Anirudha Nayak · 3 years, 6 months ago

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## Comments

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TopNewestIs this your homework?

Hint :\[\sin x +\cos x=\sqrt{2}\sin\left(x+\frac{\pi}{4}\right).\]

From this point, it should be easy. – Tunk-Fey Ariawan · 3 years, 6 months ago

Log in to reply

I know it! i gave it just as a NOTE – Anirudha Nayak · 3 years, 6 months ago

Log in to reply