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Popular >

integral from 2 to 8 of (-x+10)

Solution

\int_{2}^{8} (- x + 10) d x

Solution

30

Solution steps

\int_{2}^{8} - x + 10 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}^{8} x d x + \int_{2}^{8} 10 d x

\int_{2}^{8} x d x = 30

\int_{2}^{8} 10 d x = 60

= - 30 + 60

Simplify

= 30

Popular Examples

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\int (\frac{7}{x ^{5}} + 8 e^{2 x} - 4 x) d x

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n = 1 \sum \infty \frac{- 2 ^{n}}{n ^{7}}

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\frac{d}{d x} (\frac{12 - 3 y - 2 x}{4})

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y = x (x^{2} + 1)^{3}

Frequently Asked Questions (FAQ)

What is the integral from 2 to 8 of (-x+10) ?
The integral from 2 to 8 of (-x+10) is 30