JEE MAIN - Mathematics Bengali (2022 - 25th June Morning Shift - No. 1)

$$\int\limits_0^\pi {{{{e^{\cos x}}{\mathop{\rm sinx}\nolimits} } \over {\left( {1 + {{\cos }^2}x} \right)\left( {{e^{\cos x}} + {e^{ - \cos x}}} \right)}}} \,\,dx$$ এর মান :
$${{{\pi ^2}} \over 4}$$
$${{{\pi ^2}} \over 2}$$
$${\pi \over 4}$$
$${\pi \over 2}$$

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