∫sin5x cos x dx

1.	∫sin5x cos x dx
Answer» Suppose sin x = t d(sin x) = dt = cos x dx Putting t = sin x and dt = cos x dx in given equation ∫sin⁵x cos x dx = ∫t⁵ dt By integrating = t⁶/6 + c On substituting the value of t = sin⁶ x/6 + c

Answer»

Suppose sin x = t

d(sin x) = dt = cos x dx

Putting t = sin x and dt = cos x dx in given equation

∫sin⁵x cos x dx = ∫t⁵ dt

By integrating

= t⁶/6 + c

On substituting the value of t

= sin⁶ x/6 + c

Discussion