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Popular >

integral from 2 to 6 of (x^3-4x)

Solution

\int_{2}^{6} (x^{3} - 4 x) d x

Solution

256

Solution steps

\int_{2}^{6} 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_{2}^{6} x^{3} d x - \int_{2}^{6} 4 x d x

\int_{2}^{6} x^{3} d x = 320

\int_{2}^{6} 4 x d x = 64

= 320 - 64

Simplify

= 256

Graph

Popular Examples

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

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

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\int_{- π}^{π} t^{2} sin (n t) d t

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\int_{0}^{2 π} cos^{8} (x) d x

integral from 0 to t^4 of sqrt(u^3)

\int_{0}^{t^{4}} u^{3} d u

integral from 0 to 3 of (x^2)/(x^3+6)

\int_{0}^{3} \frac{x ^{2}}{x ^{3} + 6} d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 6 of (x^3-4x) ?
The integral from 2 to 6 of (x^3-4x) is 256