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Popular >

integral from-1 to 2 of |x|

Solution

\int_{- 1}^{2} ∣ x ∣ d x

Solution

\frac{5}{2}

+1

Solution steps

\int_{- 1}^{2} ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 1}^{0} - x d x + \int_{0}^{2} x d x

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

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

= \frac{1}{2} + 2

Simplify

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

= \frac{5}{2}

Popular Examples

sum from n=0 to infinity of 4^n+n^4

n = 0 \sum \infty 4^{n} + n^{4}

tangent of y=7x^2-5x+2 tangent of

y = 7 x^{2} - 5 x + 2

derivative of 8x^2sin(x)tan(x)derivative of

8 x^{2} sin (x) tan (x)

integral of xycos(xy)+sin(xy)

\int x y cos (x y) + sin (x y) d x

(\partial)/(\partial x)(sqrt(21-3x^2-4y^2))

\frac{\partial}{\partial x} (21 - 3 x^{2} - 4 y^{2})

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of |x| ?
The integral from-1 to 2 of |x| is 5/2