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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

Popular Examples

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(2 + u^{2})^{5} (5 - 9 u^{2})^{8}

integral of 3x(7-x)

\int 3 x (7 - x) d x

tangent of f(x)=5+4x^2-2x^3,(1,7)tangent of

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\int \frac{( 3 x ^{2} - 4 ) ^{\frac{3}{2}} 4 x ^{3}}{x ^{2}} d x

derivative of (sin(x)/(1+cos(x)))

\frac{d}{d x} (\frac{sin ( x )}{1 + cos ( 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