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Popular >

integral from-1 to 1 of |5x-3|

Solution

\int_{- 1}^{1} ∣ 5 x - 3 ∣ d x

Solution

\frac{34}{5}

+1

Decimal Notation

6.8

Solution steps

\int_{- 1}^{1} ∣ 5 x - 3 ∣ d x

Eliminate Absolutes

= \int_{- 1}^{\frac{3}{5}} - 5 x + 3 d x + \int_{\frac{3}{5}}^{1} 5 x - 3 d x

\int_{- 1}^{\frac{3}{5}} - 5 x + 3 d x = \frac{32}{5}

\int_{\frac{3}{5}}^{1} 5 x - 3 d x = \frac{2}{5}

= \frac{32}{5} + \frac{2}{5}

Simplify

\frac{32}{5} + \frac{2}{5} : \frac{34}{5}

= \frac{34}{5}

Popular Examples

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\int_{\frac{π}{6}}^{\frac{π}{2}} 6 sin (x) d x

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\int_{0}^{\frac{π}{12}} x tan^{2} (4 x) d x

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

integral from 0 to 40 of x\sqrt[3]{675x}

integral from 1 to 3 of 1/(x^2+81)

\int_{1}^{3} \frac{1}{x ^{2} + 81} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of |5x-3| ?
The integral from-1 to 1 of |5x-3| is 34/5