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Popular >

integral from 0 to 2 of (3x^2-1)

Solution

\int_{0}^{2} (3 x^{2} - 1) d x

Solution

6

Solution steps

\int_{0}^{2} 3 x^{2} - 1 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} 1 d x

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

\int_{0}^{2} 1 d x = 2

= 8 - 2

Simplify

= 6

Graph

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (3x^2-1) ?
The integral from 0 to 2 of (3x^2-1) is 6