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Popular >

integral from-2 to 3 of (2-|x|)

Solution

\int_{- 2}^{3} (2 - ∣ x ∣) d x

Solution

\frac{7}{2}

+1

Decimal

3.5

Solution steps

\int_{- 2}^{3} 2 - ∣ x ∣ d x

Eliminate Absolutes

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

\int_{- 2}^{0} 2 - (- x) d x = 2

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

= 2 + \frac{3}{2}

Simplify

2 + \frac{3}{2} : \frac{7}{2}

= \frac{7}{2}

Graph

Popular Examples

integral from-1 to 1 of x^3-4x

\int_{- 1}^{1} x^{3} - 4 x d x

integral from 1 to 9 of y(3-sqrt(y))

\int_{1}^{9} y (3 - y) d y

integral from 0 to 0.6 of sin(x)

\int_{0}^{0.6} sin (x) d x

integral from 0 to 0.5 of 2(1-x)

\int_{0}^{0.5} 2 (1 - x) d x

integral from 0 to 1 of (1-y)

\int_{0}^{1} (1 - y) d y

Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of (2-|x|) ?
The integral from-2 to 3 of (2-|x|) is 7/2