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Popular >

integral from 2 to 3 of (x^2+2)

Solution

\int_{2}^{3} (x^{2} + 2) d x

Solution

\frac{25}{3}

+1

Decimal

8.33333 \dots

Solution steps

\int_{2}^{3} x^{2} + 2 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}^{3} x^{2} d x + \int_{2}^{3} 2 d x

\int_{2}^{3} x^{2} d x = \frac{19}{3}

\int_{2}^{3} 2 d x = 2

= \frac{19}{3} + 2

Simplify

\frac{19}{3} + 2 : \frac{25}{3}

= \frac{25}{3}

Graph

Popular Examples

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\int_{2}^{3} \frac{9}{( 3 x + 2 ) ^{4}} d x

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\int_{- 1}^{1} 2 - x^{2} - x^{2} d x

integral from 0 to 2pi of 1-cos(2x)

\int_{0}^{2 π} 1 - cos (2 x) d x

integral from 0 to 1 of (x^2-2x+7)

\int_{0}^{1} (x^{2} - 2 x + 7) d x

integral from-2 to 2 of x^4-2x^2

\int_{- 2}^{2} x^{4} - 2 x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 3 of (x^2+2) ?
The integral from 2 to 3 of (x^2+2) is 25/3