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Popular >

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

Solution

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

Solution

16

Solution steps

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

\int_{- 2}^{2} 3 x^{2} d x = 16

\int_{- 2}^{2} 2 x d x = 0

= 16 + 0

Simplify

= 16

Graph

Popular Examples

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

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

integral from 2 to 6 of y/(sqrt(y-2))

\int_{2}^{6} \frac{y}{y - 2} d y

integral from 1 to 2 of (20x^3+6/(x^2))

\int_{1}^{2} (20 x^{3} + \frac{6}{x ^{2}}) d x

integral from 0 to 10 of (10x-x^2)

\int_{0}^{10} (10 x - x^{2}) d x

integral from 0 to 6 of 1/2 x

\int_{0}^{6} \frac{1}{2} x d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (3x^2+2x) ?
The integral from-2 to 2 of (3x^2+2x) is 16