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+1 vote
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in Integrals by (28.9k points)
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Find the following :

(i) \(\int cot\,x \,log (sin x) dx\)

(ii) \(\int \frac{1}{x^2 + 2x + 2}dx\)

(iii) \(\int x e^{9x} dx\)

1 Answer

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by (28.2k points)
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Best answer

(i) I = \(\int cot\, x\, log(sinx)dx\)

Put log (sin x) = t

⇒ \(\frac{cos x}{sin x} dx\) = dt ⇒ cot xdx = dt

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