Evaluate the integral J= _ -5 ^ 5 |x^ 2 -4| ,dx

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Evaluate the integral

J=\int_{-5}^{5} |x^{2}-4|\,dx.

Present your answer by (i) determining the sub-intervals within

[-5,5]

on which

x^{2}-4

is non-negative or negative, (ii) computing the integral over each sub-interval, and (iii) summing the results obtained.