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Popular >

integral from-1 to 3 of x^3-9x

Solution

\int_{- 1}^{3} x^{3} - 9 x d x

Solution

- 16

Solution steps

\int_{- 1}^{3} x^{3} - 9 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_{- 1}^{3} x^{3} d x - \int_{- 1}^{3} 9 x d x

\int_{- 1}^{3} x^{3} d x = 20

\int_{- 1}^{3} 9 x d x = 36

= 20 - 36

Simplify

= - 16

Popular Examples

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\int_{2}^{6} 6 - x d x

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\int_{0}^{1} e^{7 r - 1} (2 r^{2} - r) d r

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\int_{1}^{2} \frac{3}{x ^{2} + 2 x + 2} d x

integral from 1 to 3 of ln(x+1)sin(x)

\int_{1}^{3} ln (x + 1) sin (x) d x

integral from 15 to 31 of 1/(sqrt(x-6))

\int_{15}^{31} \frac{1}{x - 6} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of x^3-9x ?
The integral from-1 to 3 of x^3-9x is -16