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Popular >

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

Solution

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

Solution

\frac{52}{3}

+1

Decimal

17.33333 \dots

Solution steps

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

\int_{- 1}^{3} x^{2} d x = \frac{28}{3}

\int_{- 1}^{3} 2 x d x = 8

= \frac{28}{3} + 8

Simplify

\frac{28}{3} + 8 : \frac{52}{3}

= \frac{52}{3}

Graph

Popular Examples

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

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

integral from-pi to pi of 4sin(x)+cos(x)

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

integral from 0 to 1 of sin(4x)

\int_{0}^{1} sin (4 x) d x

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

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

integral from 0 to infinity of x^3

\int_{0}^{\infty} x^{3} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of (x^2+2x) ?
The integral from-1 to 3 of (x^2+2x) is 52/3