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Popular Calculus >

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

Solution

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

Solution

48

Solution steps

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

\int_{1}^{4} 3 x^{2} d x = 63

\int_{1}^{4} 2 x d x = 15

= 63 - 15

Simplify

= 48

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of 3x^2-2x ?
The integral from 1 to 4 of 3x^2-2x is 48