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Popular >

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

Solution

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

Solution

4

Solution steps

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

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

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

= 8 - 4

Simplify

= 4

Graph

Popular Examples

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\int_{- 2}^{2} x^{4} + 5 x^{2} + 2 x + 8 d x

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\int_{0}^{1} y^{2} 30 y^{2} (1 - y)^{2} d y

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\int_{0}^{1} (9 x^{e} + 5 e^{x}) d x

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\int_{0}^{1} 5 e^{x} d x

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\int_{0}^{1} x^{3} (3 + x^{4})^{3} d x

Frequently Asked Questions (FAQ)

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