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Popular Calculus >

integral from 0 to 3 of (6x^2+3)

Solution

\int_{0}^{3} (6 x^{2} + 3) d x

Solution

63

Solution steps

\int_{0}^{3} 6 x^{2} + 3 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} 6 x^{2} d x + \int_{0}^{3} 3 d x

\int_{0}^{3} 6 x^{2} d x = 54

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

= 54 + 9

Simplify

= 63

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (6x^2+3) ?
The integral from 0 to 3 of (6x^2+3) is 63