What is the integral from-10 to 10 of (|x|+5) ?

The integral from-10 to 10 of (|x|+5) is 200

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integral from-10 to 10 of (|x|+5)

\int_{- 10}^{10} (∣ x ∣ + 5) d x

200

Solution steps

\int_{- 10}^{10} ∣ x ∣ + 5 d x

Eliminate Absolutes

= \int_{- 10}^{0} - x + 5 d x + \int_{0}^{10} x + 5 d x

\int_{- 10}^{0} - x + 5 d x = 100

\int_{0}^{10} x + 5 d x = 100

= 100 + 100

Simplify

= 200

What is the integral from-10 to 10 of (|x|+5) ?
The integral from-10 to 10 of (|x|+5) is 200