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Popular >

integral from 0 to 2 of-2x^3+8x

Solution

\int_{0}^{2} - 2 x^{3} + 8 x d x

Solution

8

Solution steps

\int_{0}^{2} - 2 x^{3} + 8 x 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_{0}^{2} 2 x^{3} d x + \int_{0}^{2} 8 x d x

\int_{0}^{2} 2 x^{3} d x = 8

\int_{0}^{2} 8 x d x = 16

= - 8 + 16

Simplify

= 8

Graph

Popular Examples

integral from 0 to y/3 of (y^2-9x^2)/2

\int_{0}^{\frac{y}{3}} \frac{y ^{2} - 9 x ^{2}}{2} d x

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

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

integral from 0 to 9 of (9x-x^2)

\int_{0}^{9} (9 x - x^{2}) d x

integral from 2 to 3 of 8x-24

\int_{2}^{3} 8 x - 24 d x

integral from 1 to 4 of cos(x)-3/(x^5)

\int_{1}^{4} cos (x) - \frac{3}{x ^{5}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of-2x^3+8x ?
The integral from 0 to 2 of-2x^3+8x is 8