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Popular >

integral from 0 to 5 of (3x-8)

Solution

\int_{0}^{5} (3 x - 8) d x

Solution

- \frac{5}{2}

+1

Solution steps

\int_{0}^{5} 3 x - 8 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_{0}^{5} 3 x d x - \int_{0}^{5} 8 d x

\int_{0}^{5} 3 x d x = \frac{75}{2}

\int_{0}^{5} 8 d x = 40

= \frac{75}{2} - 40

Simplify

\frac{75}{2} - 40 : - \frac{5}{2}

= - \frac{5}{2}

Popular Examples

integral from 0 to 4 of 3-x^2

\int_{0}^{4} 3 - x^{2} d x

integral from 0 to 10 of (5e^{-0.05x})

\int_{0}^{10} (5 e^{- 0.05 x}) d x

integral from 0 to 3 of 1/(1+x^2)

\int_{0}^{3} \frac{1}{1 + x ^{2}} d x

integral from 0 to 3 of x/(1+5x^2)

\int_{0}^{3} \frac{x}{1 + 5 x ^{2}} d x

integral from 0 to 1 of sqrt(1x+4)

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of (3x-8) ?
The integral from 0 to 5 of (3x-8) is -5/2