Evaluate the integral. \int_{-4}^{4}|x|dx

babeeb0oL

babeeb0oL

Answered question

2021-10-23

Evaluate the integral.
44|x|dx

Answer & Explanation

Anonym

Anonym

Skilled2021-10-24Added 108 answers

Step 1
Given integral to evaluate
44|x|dx
The modulus function is given by
|x|={xif x0xif x<0
Step 2
So the given integral can be evaluated as
44|x|dx=40xdx+04xdx
=[x22]40+[x22]04
=[0((4)22)]+[4220]
=8+8
=16

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