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Popular Calculus >

integral from 0 to 5 of 3x+2

Solution

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

Solution

\frac{95}{2}

+1

Decimal

47.5

Solution steps

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

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

\int_{0}^{5} 2 d x = 10

= \frac{75}{2} + 10

Simplify

\frac{75}{2} + 10 : \frac{95}{2}

= \frac{95}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of 3x+2 ?
The integral from 0 to 5 of 3x+2 is 95/2