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Popular >

integral from 1 to 3 of x^2-1

Solution

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

Solution

\frac{20}{3}

+1

Decimal

6.66666 \dots

Solution steps

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

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

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

= \frac{26}{3} - 2

Simplify

\frac{26}{3} - 2 : \frac{20}{3}

= \frac{20}{3}

Graph

Popular Examples

integral from 0 to 5 of 4x

\int_{0}^{5} 4 x d x

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

\int_{1}^{3} \frac{x ^{2} + 2}{x} d x

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

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

integral from-pi/4 to pi/4 of sin(x)

\int_{- \frac{π}{4}}^{\frac{π}{4}} sin (x) d x

integral from 0 to 2 of 2y

\int_{0}^{2} 2 y d y

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of x^2-1 ?
The integral from 1 to 3 of x^2-1 is 20/3