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Popular >

integral from 0 to 2 of 3x^2-4x+2

Solution

\int_{0}^{2} 3 x^{2} - 4 x + 2 d x

Solution

4

Solution steps

\int_{0}^{2} 3 x^{2} - 4 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}^{2} 3 x^{2} d x - \int_{0}^{2} 4 x d x + \int_{0}^{2} 2 d x

\int_{0}^{2} 3 x^{2} d x = 8

\int_{0}^{2} 4 x d x = 8

\int_{0}^{2} 2 d x = 4

= 8 - 8 + 4

Simplify

= 4

Graph

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\int_{1}^{9} \frac{11 ln ( x )}{x} d x

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\int_{- π}^{π} cos (m x) sin (n x) d x

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\int_{0}^{l n (x)} x y d y

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of 3x^2-4x+2 ?
The integral from 0 to 2 of 3x^2-4x+2 is 4