Evaluate the following Integral: ∫ |x + 2|dx, x ∈ [-6, 6]

Question

Evaluate the following Integral:

\(\int\limits_{-6}^{6} \) |x + 2|dx

Answer 1

We have,  \(\int\limits_{-6}^{6} \) |x + 2|dx

= –(–8) + (30 + 2)

= 8 + 32

= 40

Hence,  \(\int\limits_{-6}^{6} \) |x + 2|dx = 40