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Popular >

integral from-3 to 2 of x+|x|

Solution

\int_{- 3}^{2} x + ∣ x ∣ d x

Solution

4

Solution steps

\int_{- 3}^{2} x + ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 3}^{0} x - x d x + \int_{0}^{2} x + x d x

\int_{- 3}^{0} x - x d x = 0

\int_{0}^{2} x + x d x = 4

= 0 + 4

Simplify

= 4

Graph

Popular Examples

integral from 0 to 3 of 5x+1

\int_{0}^{3} 5 x + 1 d x

integral from 0 to pi/4 of 1/(1+cos(2x))

\int_{0}^{\frac{π}{4}} \frac{1}{1 + cos ( 2 x )} d x

integral from 1 to 3 of pi(-x^2+4x-3)^2

\int_{1}^{3} π (- x^{2} + 4 x - 3)^{2} d x

integral from-32 to 32 of \sqrt[5]{x^8}

\int_{- 32}^{32} 5 x^{8} d x

integral from-1 to 1 of u^5

\int_{- 1}^{1} u^{5} d u

Frequently Asked Questions (FAQ)

What is the integral from-3 to 2 of x+|x| ?
The integral from-3 to 2 of x+|x| is 4