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Popular Calculus >

integral from 4 to 6 of x^2+x-9

Solution

\int_{4}^{6} x^{2} + x - 9 d x

Solution

\frac{128}{3}

+1

Decimal

42.66666 \dots

Solution steps

\int_{4}^{6} x^{2} + x - 9 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_{4}^{6} x^{2} d x + \int_{4}^{6} x d x - \int_{4}^{6} 9 d x

\int_{4}^{6} x^{2} d x = \frac{152}{3}

\int_{4}^{6} x d x = 10

\int_{4}^{6} 9 d x = 18

= \frac{152}{3} + 10 - 18

Simplify

\frac{152}{3} + 10 - 18 : \frac{128}{3}

= \frac{128}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 4 to 6 of x^2+x-9 ?
The integral from 4 to 6 of x^2+x-9 is 128/3