∫0π/2log(4+3Sin x4+3Cos x)dx=

I=∫0π/2log(4+3Sin x4+3Cos x)dx I=∫0π/2log(4+3Cos x4+3 Sin x)dx 2I=0 I=0

∫0π/2log(4+3Sin x4+3Cos x)dx=

I=∫0π/2log(4+3Sin x4+3Cos x)dx I=∫0π/2log(4+3Cos x4+3 Sin x)dx 2I=0 I=0

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$\int_{0}^{π / 2} \log (\frac{4 + 3 S i n x}{4 + 3 C o s x}) d x =$

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$\frac{π}{4}$

–1

answer is B.

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Detailed Solution

$I = \int_{0}^{π / 2} \log (\frac{4 + 3 S i n x}{4 + 3 C o s x}) d x$

$I = \int_{0}^{π / 2} \log (\frac{4 + 3 C o s x}{4 + 3 S i n x}) d x$

$2 I = 0$

$I = 0$

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∫0π/2log(4+3Sin x4+3Cos x)dx=

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$\int_{0}^{π / 2} \log (\frac{4 + 3 S i n x}{4 + 3 C o s x}) d x =$