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Popular >

integral from 0 to 5 of |t^2-t|

Solution

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

Solution

\frac{59}{2}

+1

Decimal

29.5

Solution steps

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

Eliminate Absolutes

= \int_{0}^{1} - t^{2} + t d t + \int_{1}^{5} t^{2} - t d t

\int_{0}^{1} - t^{2} + t d t = \frac{1}{6}

\int_{1}^{5} t^{2} - t d t = \frac{88}{3}

= \frac{1}{6} + \frac{88}{3}

Simplify

\frac{1}{6} + \frac{88}{3} : \frac{59}{2}

= \frac{59}{2}

Graph

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\int_{3}^{10} x e^{- x^{2}} d x

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

integral from 1 to-1 of (3r+2)^2

\int_{1}^{- 1} (3 r + 2)^{2} d r

integral from 0 to 4 of (7x^2-8x+7)

\int_{0}^{4} (7 x^{2} - 8 x + 7) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of |t^2-t| ?
The integral from 0 to 5 of |t^2-t| is 59/2