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Popular >

integral from-4 to 2 of x^3+2x-5

Solution

\int_{- 4}^{2} x^{3} + 2 x - 5 d x

Solution

- 102

Solution steps

\int_{- 4}^{2} x^{3} + 2 x - 5 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}^{2} x^{3} d x + \int_{- 4}^{2} 2 x d x - \int_{- 4}^{2} 5 d x

\int_{- 4}^{2} x^{3} d x = - 60

\int_{- 4}^{2} 2 x d x = - 12

\int_{- 4}^{2} 5 d x = 30

= - 60 - 12 - 30

Simplify

= - 102

Popular Examples

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\int_{1}^{\infty} \frac{1}{2 x + 8} d x

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

integral from 0 to 1 of cos^2(ax)

\int_{0}^{1} cos^{2} (a x) d x

integral from 1 to infinity of 5/(x^5)

\int_{1}^{\infty} \frac{5}{x ^{5}} d x

integral from 0 to 1 of 5(1-y)^4

\int_{0}^{1} 5 (1 - y)^{4} d y

Frequently Asked Questions (FAQ)

What is the integral from-4 to 2 of x^3+2x-5 ?
The integral from-4 to 2 of x^3+2x-5 is -102