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Popular >

integral from 0 to 10 of |5-2x|

Solution

\int_{0}^{10} ∣ 5 - 2 x ∣ d x

Solution

\frac{125}{2}

+1

Decimal Notation

62.5

Solution steps

\int_{0}^{10} ∣ 5 - 2 x ∣ d x

Eliminate Absolutes

= \int_{0}^{\frac{5}{2}} 5 - 2 x d x + \int_{\frac{5}{2}}^{10} - 5 + 2 x d x

\int_{0}^{\frac{5}{2}} 5 - 2 x d x = \frac{25}{4}

\int_{\frac{5}{2}}^{10} - 5 + 2 x d x = \frac{225}{4}

= \frac{25}{4} + \frac{225}{4}

Simplify

\frac{25}{4} + \frac{225}{4} : \frac{125}{2}

= \frac{125}{2}

Popular Examples

integral from 0 to 2 of (x^3)/(x+1)

\int_{0}^{2} \frac{x ^{3}}{x + 1} d x

integral from 0 to 2pi of (cos(x))

\int_{0}^{2 π} (cos (x)) d x

integral from 1 to x of x^2

\int_{1}^{x} x^{2} d x

integral from pi/4 to pi/2 of (sin(x))/x

\int_{\frac{π}{4}}^{\frac{π}{2}} \frac{sin ( x )}{x} d x

integral from-4 to 4 of-1/5 x^3+5x

\int_{- 4}^{4} - \frac{1}{5} x^{3} + 5 x d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 10 of |5-2x| ?
The integral from 0 to 10 of |5-2x| is 125/2