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Popular >

integral from-3 to 1 of |x|

Solution

\int_{- 3}^{1} ∣ x ∣ d x

Solution

5

Solution steps

\int_{- 3}^{1} ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 3}^{0} - x d x + \int_{0}^{1} x d x

\int_{- 3}^{0} - x d x = \frac{9}{2}

\int_{0}^{1} x d x = \frac{1}{2}

= \frac{9}{2} + \frac{1}{2}

Simplify

\frac{9}{2} + \frac{1}{2} : 5

= 5

Graph

Popular Examples

integral from-2 to 0 of 9x^2(2x^3+1)^2

\int_{- 2}^{0} 9 x^{2} (2 x^{3} + 1)^{2} d x

integral from-3 to 1 of |x+2|

\int_{- 3}^{1} ∣ x + 2 ∣ d x

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

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

integral from 0 to 2 of 2xsqrt(4-x^2)

\int_{0}^{2} 2 x 4 - x^{2} d x

integral from 1 to e of ln(y)

\int_{1}^{e} ln (y) d y

Frequently Asked Questions (FAQ)

What is the integral from-3 to 1 of |x| ?
The integral from-3 to 1 of |x| is 5