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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 1 to 3 of 4x^3-3x^2+1

\int_{1}^{3} 4 x^{3} - 3 x^{2} + 1 d x

integral from 0 to 4 of (xsqrt(16-x^2))

\int_{0}^{4} (x 16 - x^{2}) d x

integral from 0 to 5 of (x+1)^2

\int_{0}^{5} (x + 1)^{2} d x

integral from-3 to 3 of x^4

\int_{- 3}^{3} x^{4} d x

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

\int_{- 5}^{5} \frac{5}{x ^{3}} 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