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Popular >

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

Solution

\int_{- 1}^{2} ∣ 2 x - 1 ∣ d x

Solution

\frac{9}{2}

+1

Decimal

4.5

Solution steps

\int_{- 1}^{2} ∣ 2 x - 1 ∣ d x

Eliminate Absolutes

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

\int_{- 1}^{\frac{1}{2}} - 2 x + 1 d x = \frac{9}{4}

\int_{\frac{1}{2}}^{2} 2 x - 1 d x = \frac{9}{4}

= \frac{9}{4} + \frac{9}{4}

Simplify

\frac{9}{4} + \frac{9}{4} : \frac{9}{2}

= \frac{9}{2}

Graph

Popular Examples

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

\int_{- 1}^{1} \frac{x}{2 + x ^{2}} d x

integral from-7 to 1 of (-x^2-3x)

\int_{- 7}^{1} (- x^{2} - 3 x) d x

integral from 0 to 1/2 of 1/(x(ln(x))^2)

\int_{0}^{\frac{1}{2}} \frac{1}{x ( ln ( x ) ) ^{2}} d x

integral from 0 to 5 of x^2+4

\int_{0}^{5} x^{2} + 4 d x

integral from 0 to pi/3 of (cos(x)+1)

\int_{0}^{\frac{π}{3}} (cos (x) + 1) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of |2x-1| ?
The integral from-1 to 2 of |2x-1| is 9/2