Evaluate the following integrals:∫ sin5 x cos x dx

Let sin x = tThen d(sin x) = dt = cos xdxPut t = sin x and dt = cos xdx in above equation∫ sin5 x cos x dx = = ( since ∫xⁿ dx = + c for any c≠-1)=

Q4 of 865 Page 20

Evaluate the following integrals:
∫ sin⁵ x cos x dx

Let sin x = t

Then d(sin x) = dt = cos xdx

Put t = sin x and dt = cos xdx in above equation

∫ sin⁵ x cos x dx =

= ( since ∫xⁿ dx = + c for any c≠-1)

Evaluate the following integrals:

Evaluate the following integrals:

∫ cos⁵ x dx

Evaluate the following integrals:

∫ sin³ x cos⁶ x dx

Evaluate the following integrals:

∫ cos⁷ x dx