The value of

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

The value of ∫−ππcos⁡2x1+ax dx\int_{-\pi}^{\pi}\frac{\cos^2 x}{1+a^x}\,dx, where a>0a>0, is (1) π\pi (2) aπa\pi (3) 2π2\pi (4) π2\frac{\pi}{2}

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