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Popular >

integral from 3 to 7 of (x^2-9)

Solution

\int_{3}^{7} (x^{2} - 9) d x

Solution

\frac{208}{3}

+1

Decimal

69.33333 \dots

Solution steps

\int_{3}^{7} x^{2} - 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_{3}^{7} x^{2} d x - \int_{3}^{7} 9 d x

\int_{3}^{7} x^{2} d x = \frac{316}{3}

\int_{3}^{7} 9 d x = 36

= \frac{316}{3} - 36

Simplify

\frac{316}{3} - 36 : \frac{208}{3}

= \frac{208}{3}

Graph

Popular Examples

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\int_{1}^{8} \frac{4}{x} d x

integral from 0 to 1 of x/(2x^2+5x+2)

\int_{0}^{1} \frac{x}{2 x ^{2} + 5 x + 2} d x

integral from 0 to 6 of x-2

\int_{0}^{6} x - 2 d x

integral from-3 to-1 of (x-5)

\int_{- 3}^{- 1} (x - 5) d x

integral from-1 to 4 of e^{-x/2}

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

Frequently Asked Questions (FAQ)

What is the integral from 3 to 7 of (x^2-9) ?
The integral from 3 to 7 of (x^2-9) is 208/3