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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1
The value of ∫0πecos⁡xsin⁡x(1+cos⁡2x)(ecos⁡x+e−cos⁡x)dx\int_0^\pi \frac{e^{\cos x} \sin x}{\left(1+\cos ^2 x\right)\left(e^{\cos x}+e^{-\cos x}\right)} d x is equal to
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Correct option: C
π4\frac{\pi}{4}
Option C (π4\frac{\pi}{4}) is correct because it is the result of evaluating the definite integral using the property of definite integrals and substitution.

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