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Popular Calculus >

integral from-4 to 0 of x^3-16x

Solution

\int_{- 4}^{0} x^{3} - 16 x d x

Solution

64

Solution steps

\int_{- 4}^{0} x^{3} - 16 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_{- 4}^{0} x^{3} d x - \int_{- 4}^{0} 16 x d x

\int_{- 4}^{0} x^{3} d x = - 64

\int_{- 4}^{0} 16 x d x = - 128

= - 64 - (- 128)

Simplify

= 64

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-4 to 0 of x^3-16x ?
The integral from-4 to 0 of x^3-16x is 64