What is the integral from 0 to 2 of 5x^2-11x ?

The integral from 0 to 2 of 5x^2-11x is -26/3

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integral from 0 to 2 of 5x^2-11x

\int_{0}^{2} 5 x^{2} - 11 x d x

- \frac{26}{3}

Decimal

- 8.66666 \dots

Solution steps

\int_{0}^{2} 5 x^{2} - 11 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}^{2} 5 x^{2} d x - \int_{0}^{2} 11 x d x

\int_{0}^{2} 5 x^{2} d x = \frac{40}{3}

\int_{0}^{2} 11 x d x = 22

= \frac{40}{3} - 22

Simplify

\frac{40}{3} - 22 : - \frac{26}{3}

= - \frac{26}{3}

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What is the integral from 0 to 2 of 5x^2-11x ?
The integral from 0 to 2 of 5x^2-11x is -26/3