JEE MAIN - Mathematics Hindi (2021 - 27th July Morning Shift - No. 3)

निश्चित अंतराल का मान

$$\int\limits_{ - {\pi \over 4}}^{{\pi \over 4}} {{{dx} \over {(1 + {e^{x\cos x}})({{\sin }^4}x + {{\cos }^4}x)}}} $$ इसके बराबर है :
$$ - {\pi \over 2}$$
$${\pi \over {2\sqrt 2 }}$$
$$ - {\pi \over 4}$$
$${\pi \over {\sqrt 2 }}$$

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