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Popular >

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

Solution

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

Solution

4

Solution steps

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

\int_{- 2}^{2} 3 x^{2} d x = 16

\int_{- 2}^{2} 3 d x = 12

= 16 - 12

Simplify

= 4

Graph

Popular Examples

integral from 2 to 4 of-2x

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

integral from 0 to 1 of x^7e^{-x^4}

\int_{0}^{1} x^{7} e^{- x^{4}} d x

integral from-1 to 2 of 4x-6x^2

\int_{- 1}^{2} 4 x - 6 x^{2} d x

integral from 0 to pi/2 of 4sin(2x)

\int_{0}^{\frac{π}{2}} 4 sin (2 x) d x

integral from 0 to a of 9xsqrt(a^2-x^2)

\int_{0}^{a} 9 x a^{2} - x^{2} d x

Frequently Asked Questions (FAQ)

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