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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

- 4

Solution steps

\int_{0}^{- 2} x^{3} - 4 x d x

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

= - \int_{- 2}^{0} 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}^{0} x^{3} d x - \int_{- 2}^{0} 4 x d x)

\int_{- 2}^{0} x^{3} d x = - 4

\int_{- 2}^{0} 4 x d x = - 8

= - (- 4 - (- 8))

Simplify

= - 4

Popular Examples

integral from 0 to 5 of xcos(x)

\int_{0}^{5} x cos (x) d x

integral from 1 to 4 of 2^xx

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

integral from 4 to 9 of 4sqrt(x)

\int_{4}^{9} 4 x d x

integral from-1 to 1 of sin(pix)

\int_{- 1}^{1} sin (π x) d x

integral from 2 to 3 of x/(sqrt(9x^2-9))

\int_{2}^{3} \frac{x}{9 x ^{2} - 9} 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 -4