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Popular >

integral from 2 to 0 of x^3

Solution

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

Solution

- 4

Solution steps

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

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

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

Apply the Power Rule

: [\frac{x ^{4}}{4}]_{0}^{2}

= - [\frac{x ^{4}}{4}]_{0}^{2}

Compute the boundaries:

4

= - 4

Graph

Popular Examples

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\int_{1}^{e^{7}} \frac{1}{x ( 1 + ln ( x ) )} d x

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

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\int_{0}^{\frac{π}{2}} x cos (y) (- x + 1) d y

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\int_{0}^{10} \frac{1}{4} e^{- \frac{x}{4}} d x

integral from-1 to 8 of 1/((x-8)^2)

\int_{- 1}^{8} \frac{1}{( x - 8 ) ^{2}} d x

Frequently Asked Questions (FAQ)

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