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Popular >

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

Solution

\int_{- 2}^{3} ∣ 2 x - 1 ∣ d x

Solution

\frac{25}{2}

+1

Decimal

12.5

Solution steps

\int_{- 2}^{3} ∣ 2 x - 1 ∣ d x

Eliminate Absolutes

= \int_{- 2}^{\frac{1}{2}} - 2 x + 1 d x + \int_{\frac{1}{2}}^{3} 2 x - 1 d x

\int_{- 2}^{\frac{1}{2}} - 2 x + 1 d x = \frac{25}{4}

\int_{\frac{1}{2}}^{3} 2 x - 1 d x = \frac{25}{4}

= \frac{25}{4} + \frac{25}{4}

Simplify

\frac{25}{4} + \frac{25}{4} : \frac{25}{2}

= \frac{25}{2}

Graph

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\int_{0}^{4} t e^{- 0.5 t} d t

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\int_{1}^{2} x sin (π x^{2}) d x

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\int_{0}^{5} (x^{4} + 5 x - 4) d x

integral from 2 to 8 of (e^x)/(1+e^x)

\int_{2}^{8} \frac{e ^{x}}{1 + e ^{x}} d x

integral from-4 to 1 of x

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

Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of |2x-1| ?
The integral from-2 to 3 of |2x-1| is 25/2