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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

12

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

= 12

Popular Examples

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

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

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\int_{0}^{2} x 1 + 4 x^{2} d x

integral from 2 to infinity of 5/(4+x^2)

\int_{2}^{\infty} \frac{5}{4 + x ^{2}} d x

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

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

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

\int_{- 1}^{2} \frac{x ^{2}}{x + 2} 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 12