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Popular Calculus >

integral from 0 to 3 of 3-1/3 x^2

Solution

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

Solution

6

Solution steps

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

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

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

= 9 - 3

Simplify

= 6

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 3-1/3 x^2 ?
The integral from 0 to 3 of 3-1/3 x^2 is 6