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Popular >

integral from-2 to 2 of (x^2+4)

Solution

\int_{- 2}^{2} (x^{2} + 4) d x

Solution

\frac{64}{3}

+1

Solution steps

\int_{- 2}^{2} x^{2} + 4 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} x^{2} d x + \int_{- 2}^{2} 4 d x

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

\int_{- 2}^{2} 4 d x = 16

= \frac{16}{3} + 16

Simplify

\frac{16}{3} + 16 : \frac{64}{3}

= \frac{64}{3}

Popular Examples

integral from-2 to 2 of xsqrt(25-x^2)

\int_{- 2}^{2} x 25 - x^{2} d x

integral from 0 to 4 of (x+2)

\int_{0}^{4} (x + 2) d x

integral from 4 to 16 of sqrt(x)

\int_{4}^{16} x d x

integral from 1 to 6 of (2ln(x))/x

\int_{1}^{6} \frac{2 ln ( x )}{x} d x

integral from 0 to pi/3 of sin(3x)cos(x)

\int_{0}^{\frac{π}{3}} sin (3 x) cos (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (x^2+4) ?
The integral from-2 to 2 of (x^2+4) is 64/3