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Popular Calculus >

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

Solution

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

Solution

15

Solution steps

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

\int_{0}^{3} 2 x^{2} d x = 18

\int_{0}^{3} 1 d x = 3

= 18 - 3

Simplify

= 15

Graph

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\int_{0}^{t} x^{5} d x

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\int_{1}^{r} \frac{20}{x} d x

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integral from 1 to 3 of 2x-2

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (2x^2-1) ?
The integral from 0 to 3 of (2x^2-1) is 15