The value of the integral is

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

Problem

The value of the integral ∫(1−cos⁡θ)2/7(1+cos⁡θ)9/7 dθ\int \frac{(1 - \cos \theta)^{2/7}}{(1 + \cos \theta)^{9/7}}\,d\theta is (a) 711(tan⁡θ2)117+C\frac{7}{11}\left(\tan \frac{\theta}{2}\right)^{\frac{11}{7}} + C (b) 711(cos⁡θ2)117+C\frac{7}{11}\left(\cos \frac{\theta}{2}\right)^{\frac{11}{7}} + C (c) 711(sin⁡θ2)117+C\frac{7}{11}\left(\sin \frac{\theta}{2}\right)^{\frac{11}{7}} + C (d) none of these

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