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$\int_{0}^{π} e^{\sin^{2} x} \cos^{3} xdx$ is equal to

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Correct option is B

Let I=∫0π esin2⁡xcos3⁡xdx-----i⇒ I=∫0π esin2⁡(π−x)cos3⁡(π−x)dx⇒ I=−∫0π esin2⁡xcos3⁡xdx-----iiOn adding Eqs. (i) and (ii), we get2I=0 ⇒ I=0

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∫0π esin2⁡xcos3⁡xdx is equal to

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$\int_{0}^{π} e^{\sin^{2} x} \cos^{3} xdx$ is equal to