Use integration by parts to obtain a reduction formula for positive integers n: Use this reduction formula

Use integration by parts to obtain a reduction formula for positive integers n:

Then use an identity to obtain the reduction formula

Use this reduction formula to evaluate ∫ sin⁶ x dx.

Transcribed Image Text:

sin" x dx = -sin" x cos x + (n – 1) | sin"-2 x cos? x dx. -1 sin"-'x cos x п — 1 п-1 sin" x dx = sin"-2 x dx. п