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Popular >

integral from 1 to 3 of (3x^2-8x)

Solution

\int_{1}^{3} (3 x^{2} - 8 x) d x

Solution

- 6

Solution steps

\int_{1}^{3} 3 x^{2} - 8 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} 3 x^{2} d x - \int_{1}^{3} 8 x d x

\int_{1}^{3} 3 x^{2} d x = 26

\int_{1}^{3} 8 x d x = 32

= 26 - 32

Simplify

= - 6

Popular Examples

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\int_{l n (2)}^{l n (3)} e^{- x} d x

integral from 1 to e of 1/t

\int_{1}^{e} \frac{1}{t} d t

integral from 0 to 7 of x/(sqrt(x^2+15))

\int_{0}^{7} \frac{x}{x ^{2} + 15} d x

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\int_{0}^{4} e^{2 x + 1} d x

integral from 0 to 2 of (2x+1)

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (3x^2-8x) ?
The integral from 1 to 3 of (3x^2-8x) is -6