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Popular Calculus >

integral from 1 to 3 of (3x^2+3)

Solution

\int_{1}^{3} (3 x^{2} + 3) d x

Solution

32

Solution steps

\int_{1}^{3} 3 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_{1}^{3} 3 x^{2} d x + \int_{1}^{3} 3 d x

\int_{1}^{3} 3 x^{2} d x = 26

\int_{1}^{3} 3 d x = 6

= 26 + 6

Simplify

= 32

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (3x^2+3) ?
The integral from 1 to 3 of (3x^2+3) is 32