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Popular >

integral from 4 to 0 of x

Solution

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

Solution

- 8

Solution steps

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

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

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

Apply the Power Rule

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

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

Compute the boundaries:

8

= - 8

Graph

Popular Examples

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\int_{\frac{π}{6}}^{2 π} cos (x) d x

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\int_{2}^{5} x - 1 d x

integral from 0 to 2pi of xcos(2x)

\int_{0}^{2 π} x cos (2 x) d x

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

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

integral from 0 to 2pi of tcos^2(t)

\int_{0}^{2 π} t cos^{2} (t) d t

Frequently Asked Questions (FAQ)

What is the integral from 4 to 0 of x ?
The integral from 4 to 0 of x is -8