What is the integral from 1 to 2 of 7x^2-57x+8 ?

The integral from 1 to 2 of 7x^2-57x+8 is -367/6

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integral from 1 to 2 of 7x^2-57x+8

\int_{1}^{2} 7 x^{2} - 57 x + 8 d x

- \frac{367}{6}

Decimal

- 61.16666 \dots

Solution steps

\int_{1}^{2} 7 x^{2} - 57 x + 8 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_{1}^{2} 7 x^{2} d x - \int_{1}^{2} 57 x d x + \int_{1}^{2} 8 d x

\int_{1}^{2} 7 x^{2} d x = \frac{49}{3}

\int_{1}^{2} 57 x d x = \frac{171}{2}

\int_{1}^{2} 8 d x = 8

= \frac{49}{3} - \frac{171}{2} + 8

Simplify

\frac{49}{3} - \frac{171}{2} + 8 : - \frac{367}{6}

= - \frac{367}{6}

What is the integral from 1 to 2 of 7x^2-57x+8 ?
The integral from 1 to 2 of 7x^2-57x+8 is -367/6