Integral by substitution

Calculus Level 1

Determine the indefinite integral of the following expression: $\cos { \frac{x}{5} } \sin^6 { \frac{x}{5}}.$

Details and assumptions

Use $C$ as the constant of integration.

\frac{3}{7} \sin ^7 { \frac {x}{2}} + C

\frac{5}{7} \sin ^7 { \frac {x}{5}} + C

\frac{2}{7} \sin ^7 { \frac {x}{3}} + C

\frac{6}{7} \sin ^7 { \frac {x}{4}} + C