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Popular >

integral from 0 to 2 of-x^3+4x

Solution

\int_{0}^{2} - x^{3} + 4 x d x

Solution

4

Solution steps

\int_{0}^{2} - x^{3} + 4 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} x^{3} d x + \int_{0}^{2} 4 x d x

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

\int_{0}^{2} 4 x d x = 8

= - 4 + 8

Simplify

= 4

Popular Examples

integral from 1 to 9 of (x^2+2)

\int_{1}^{9} (x^{2} + 2) d x

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\int_{2}^{7} \frac{16 x}{x ^{2} + 1} d x

integral from 0 to 2 of (6x^2-3x^3)

\int_{0}^{2} (6 x^{2} - 3 x^{3}) d x

integral from 0 to 2 of (2x)/((x^2+4)^3)

\int_{0}^{2} \frac{2 x}{( x ^{2} + 4 ) ^{3}} d x

integral from-pi/2 to pi/2 of (cos(x)-1)

\int_{- \frac{π}{2}}^{\frac{π}{2}} (cos (x) - 1) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of-x^3+4x ?
The integral from 0 to 2 of-x^3+4x is 4