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Popular >

integral from-2 to 2 of (8-2y^2)

Solution

\int_{- 2}^{2} (8 - 2 y^{2}) d y

Solution

\frac{64}{3}

+1

Decimal Notation

21.33333 \dots

Solution steps

\int_{- 2}^{2} 8 - 2 y^{2} d y

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} 8 d y - \int_{- 2}^{2} 2 y^{2} d y

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

\int_{- 2}^{2} 2 y^{2} d y = \frac{32}{3}

= 32 - \frac{32}{3}

Simplify

32 - \frac{32}{3} : \frac{64}{3}

= \frac{64}{3}

Popular Examples

limit as x approaches 0 of sqrt(x^2+x)-x

x \to 0 lim (x^{2} + x - x)

integral of 3ysqrt(7-3y^2)

\int 3 y 7 - 3 y^{2} d y

integral from 0 to 1 of (y^2+y^4)

\int_{0}^{1} (y^{2} + y^{4}) d y

derivative of x^2sqrt(3x+1)

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

integral of x/(sqrt(y^2+x^2))

\int \frac{x}{y ^{2} + x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (8-2y^2) ?
The integral from-2 to 2 of (8-2y^2) is 64/3