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Popular >

integral from 2 to 6 of (x^2+7)

Solution

\int_{2}^{6} (x^{2} + 7) d x

Solution

\frac{292}{3}

+1

Decimal

97.33333 \dots

Solution steps

\int_{2}^{6} x^{2} + 7 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_{2}^{6} x^{2} d x + \int_{2}^{6} 7 d x

\int_{2}^{6} x^{2} d x = \frac{208}{3}

\int_{2}^{6} 7 d x = 28

= \frac{208}{3} + 28

Simplify

\frac{208}{3} + 28 : \frac{292}{3}

= \frac{292}{3}

Graph

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\int_{- 1}^{1} \frac{3}{4} x (1 - x^{2}) d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 6 of (x^2+7) ?
The integral from 2 to 6 of (x^2+7) is 292/3