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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

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}

Popular Examples

integral from 0 to 2 of x*3/4 x(2-x)

\int_{0}^{2} x \cdot \frac{3}{4} x (2 - x) d x

integral from 0 to 3 of sin((npix)/3)

\int_{0}^{3} sin (\frac{nπ x}{3}) d x

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

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

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

\int_{0}^{2 π} sin (x) - cos (x) d x

integral from 1 to 16 of xsqrt(x)

\int_{1}^{16} x x 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