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Popular >

integral from-2 to 2 of (x^2+8)

Solution

\int_{- 2}^{2} (x^{2} + 8) d x

Solution

\frac{112}{3}

+1

Decimal Notation

37.33333 \dots

Solution steps

\int_{- 2}^{2} x^{2} + 8 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} 8 d x

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

\int_{- 2}^{2} 8 d x = 32

= \frac{16}{3} + 32

Simplify

\frac{16}{3} + 32 : \frac{112}{3}

= \frac{112}{3}

Popular Examples

integral of (y^2+36y+324)/((y^2+324)^2)

\int \frac{y ^{2} + 36 y + 324}{( y ^{2} + 324 ) ^{2}} d y

integral of 1/(csc(2x)-cot(2x))

\int \frac{1}{csc ( 2 x ) - cot ( 2 x )} d x

integral from 4 to 8 of 1/x

\int_{4}^{8} \frac{1}{x} d x

limit as x approaches 3 of (x-3)/(3-x)

x \to 3 lim (\frac{x - 3}{3 - x})

area x^2-9,9-x^2 area

x^{2} - 9, 9 - x^{2}

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (x^2+8) ?
The integral from-2 to 2 of (x^2+8) is 112/3