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Popular >

integral from 0 to 2 of (8-x^3)

Solution

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

Solution

12

Solution steps

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

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

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

= 16 - 4

Simplify

= 12

Popular Examples

integral from pi to 2pi of 1

\int_{π}^{2 π} 1 d x

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\int_{1}^{2} x (x^{2} - 1)^{4} d x

integral from 0 to pi/6 of sin(6x)

\int_{0}^{\frac{π}{6}} sin (6 x) d x

integral from 5 to 1 of sqrt(2x)ln(x^3)

\int_{5}^{1} 2 x ln (x^{3}) d x

integral from 0 to 2 of sqrt(-x^2+2x)

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (8-x^3) ?
The integral from 0 to 2 of (8-x^3) is 12