Evaluate the following Integral: ∫|sin x| dx, x ∈ [2π, 0]

Question

Evaluate the following Integral:

\(\int\limits_{0}^{2\pi} \)|sin x| dx

Answer 1

We have,  \(\int\limits_{0}^{2\pi} \)|sin x| dx

= [1 + 1] + [1 + 1]

= 2 + 2

= 4

Hence,  \(\int\limits_{0}^{2\pi} \)|sin x| dx = 4