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Popular >

integral from 0 to 2 of 9+(3x)/2

Solution

\int_{0}^{2} 9 + \frac{3 x}{2} d x

Solution

21

Solution steps

\int_{0}^{2} 9 + \frac{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}^{2} 9 d x + \int_{0}^{2} \frac{3 x}{2} d x

\int_{0}^{2} 9 d x = 18

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

= 18 + 3

Simplify

= 21

Graph

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

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of 9+(3x)/2 ?
The integral from 0 to 2 of 9+(3x)/2 is 21