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Popular >

integral from 0 to 5 of x^2-x

Solution

\int_{0}^{5} x^{2} - x d x

Solution

\frac{175}{6}

+1

Decimal

29.16666 \dots

Solution steps

\int_{0}^{5} x^{2} - x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int_{0}^{5} x^{2} d x = \frac{125}{3}

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

= \frac{125}{3} - \frac{25}{2}

Simplify

\frac{125}{3} - \frac{25}{2} : \frac{175}{6}

= \frac{175}{6}

Graph

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\int_{- 1}^{1} \frac{1}{16 - 9 x ^{2}} d x

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\int_{- π}^{0} - x \cdot cos (n x) d x

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

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\int_{1}^{4} (10 - x) d x

integral from 0 to 5 of 8

\int_{0}^{5} 8 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of x^2-x ?
The integral from 0 to 5 of x^2-x is 175/6