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Popular >

integral from 1 to 3 of (4-x^2)

Solution

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

Solution

- \frac{2}{3}

+1

Decimal

- 0.66666 \dots

Solution steps

\int_{1}^{3} 4 - x^{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_{1}^{3} 4 d x - \int_{1}^{3} x^{2} d x

\int_{1}^{3} 4 d x = 8

\int_{1}^{3} x^{2} d x = \frac{26}{3}

= 8 - \frac{26}{3}

Simplify

8 - \frac{26}{3} : - \frac{2}{3}

= - \frac{2}{3}

Graph

Popular Examples

integral from 0 to x^2 of sin(x)

\int_{0}^{x^{2}} sin (x) d x

integral from 0 to pi of cos(x+y+z)

\int_{0}^{π} cos (x + y + z) d x

integral from 0 to 2 of (x/2)

\int_{0}^{2} (\frac{x}{2}) d x

integral from 0 to 1 of (5x^e+7e^x)

\int_{0}^{1} (5 x^{e} + 7 e^{x}) d x

integral from 0 to 2 of (3x^2-x+1)

\int_{0}^{2} (3 x^{2} - x + 1) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (4-x^2) ?
The integral from 1 to 3 of (4-x^2) is -2/3