Evaluate the following integrals:∫ sin3 x cos6 x dx

Q5 of 865 Page 20

Evaluate the following integrals:
∫ sin³ x cos⁶ x dx

Since power of sin is odd, put cos x = t

Then dt = -sin xdx

Substitute these in above equation,

∫ sin³ x cos⁶ x dx =

= ( since ∫xⁿ dx = + c )

Evaluate the following integrals:

∫ cos⁵ x dx

Evaluate the following integrals:

∫ sin⁵ x cos x dx

Evaluate the following integrals:

∫ cos⁷ x dx

Evaluate the following integrals:

∫ x cos³ x² sin x² dx