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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 1 to 5 of (2x+7)

\int_{1}^{5} (2 x + 7) d x

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

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

integral from y to 3y of (x+y)

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

integral from 0 to 4 of t

\int_{0}^{4} t d t

integral from-1 to 5 of (2x-5)

\int_{- 1}^{5} (2 x - 5) 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