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Popular Calculus >

integral from-1 to 3 of 3x^2+4x

Solution

\int_{- 1}^{3} 3 x^{2} + 4 x d x

Solution

44

Solution steps

\int_{- 1}^{3} 3 x^{2} + 4 x 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} 4 x d x

\int_{- 1}^{3} 3 x^{2} d x = 28

\int_{- 1}^{3} 4 x d x = 16

= 28 + 16

Simplify

= 44

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of 3x^2+4x ?
The integral from-1 to 3 of 3x^2+4x is 44