Question

Prove that ∫|sin x| dx for x ∈ [0,nπ + V] = 2n + 1 – cosV, where n ∈ Z⁺ and 0 ≤ V ≤ π.

Answer 1

Given integral 

= 1 – cosV + 2n 

= (2n + 1 – cosV)