Mathematics

Problem

The value of the integral

\int \frac{(1 - \cos \theta)^{2/7}}{(1 + \cos \theta)^{9/7}}\,d\theta

is (a)

\frac{7}{11}\left(\tan \frac{\theta}{2}\right)^{\frac{11}{7}} + C

(b)

\frac{7}{11}\left(\cos \frac{\theta}{2}\right)^{\frac{11}{7}} + C

(c)

\frac{7}{11}\left(\sin \frac{\theta}{2}\right)^{\frac{11}{7}} + C

(d) none of these (a)

\frac{7}{11}\left(\tan \frac{\theta}{2}\right)^{\frac{11}{7}} + C

(b)

\frac{7}{11}\left(\cos \frac{\theta}{2}\right)^{\frac{11}{7}} + C

(c)

\frac{7}{11}\left(\sin \frac{\theta}{2}\right)^{\frac{11}{7}} + C

(d) none of these