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Popular >

integral from-2 to 2 of 16-x^4

Solution

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

Solution

\frac{256}{5}

+1

Decimal

51.2

Solution steps

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

\int_{- 2}^{2} 16 d x = 64

\int_{- 2}^{2} x^{4} d x = \frac{64}{5}

= 64 - \frac{64}{5}

Simplify

64 - \frac{64}{5} : \frac{256}{5}

= \frac{256}{5}

Graph

Popular Examples

integral from 0 to 2 of (2x+1)^3

\int_{0}^{2} (2 x + 1)^{3} d x

integral from 0 to b of x/((2x^2+1)^2)

\int_{0}^{b} \frac{x}{( 2 x ^{2} + 1 ) ^{2}} d x

integral from 0 to 3 of 4xe^{2x^2}

\int_{0}^{3} 4 x e^{2 x^{2}} d x

integral from 0 to 3 of x/(sqrt(25-x^2))

\int_{0}^{3} \frac{x}{25 - x ^{2}} d x

integral from 0 to 4 of sqrt(x+5)

\int_{0}^{4} x + 5 d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of 16-x^4 ?
The integral from-2 to 2 of 16-x^4 is 256/5