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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 0 to 6 of 6

\int_{0}^{6} 6 d x

integral from 1 to 3 of x^2-x+6

\int_{1}^{3} x^{2} - x + 6 d x

integral from 1 to 4 of (3x+sqrt(x))

\int_{1}^{4} (3 x + x) d x

integral from 0 to 4 of (6x+sqrt(x))

\int_{0}^{4} (6 x + x) d x

integral from 0 to 1 of x^2-2x+3

\int_{0}^{1} x^{2} - 2 x + 3 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