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The value of the integral $\int_{0}^{π / 4} \frac{\sin x + \cos x}{3 + \sin 2 x} d x$ is

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log 2

log 3

(1/4) log 3

(1/8) log 3.

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detailed solution

Correct option is C

Put sin⁡x−cos⁡x=t so thatI=∫−10 dt3+1−t2=12(2)log⁡2+t2−t−10=14log⁡3.

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The value of the integral ∫0π/4 sin⁡x+cos⁡x3+sin⁡2xdx is

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The value of the integral $\int_{0}^{π / 4} \frac{\sin x + \cos x}{3 + \sin 2 x} d x$ is