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Popular >

integral from 0 to 3 of 5x-9

Solution

\int_{0}^{3} 5 x - 9 d x

Solution

- \frac{9}{2}

+1

Solution steps

\int_{0}^{3} 5 x - 9 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}^{3} 5 x d x - \int_{0}^{3} 9 d x

\int_{0}^{3} 5 x d x = \frac{45}{2}

\int_{0}^{3} 9 d x = 27

= \frac{45}{2} - 27

Simplify

\frac{45}{2} - 27 : - \frac{9}{2}

= - \frac{9}{2}

Popular Examples

integral from 0 to 1 of-2xsqrt(9-x^2)

\int_{0}^{1} - 2 x 9 - x^{2} d x

integral from 0 to pi of tsin(t)

\int_{0}^{π} t sin (t) d t

integral from 0 to 1 of t^2e^{-st}

\int_{0}^{1} t^{2} e^{- s t} d t

integral from 0 to arcsin(x) of cos(x)

\int_{0}^{a r c s i n (x)} cos (x) d x

integral from 1 to 3 of 1/(sqrt(x))

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 5x-9 ?
The integral from 0 to 3 of 5x-9 is -9/2