Thank you for reporting, we will resolve it shortly
Q.
$\int \sin (11 x) \cdot \sin ^{9} x d x=+C$
Gujarat CETGujarat CET 2017
Solution:
$\int \sin (10 x+x) \sin ^{9} x dx$
$\int \sin 10 x \cos x \sin ^{9} x dx +\int \cos 10 x \sin ^{10} x dx$
$\frac{\sin ^{10} x}{10} \sin 10 x-\frac{10}{10} \int \sin ^{10} x \cos 10 x d x+\int \cos (10 x) \sin ^{10} x d x$
$\frac{\sin ^{10} x}{10} \sin (10 x)+C$