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Popular >

integral of (3x^2-2)

Solution

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

Solution

x^{3} - 2 x + C

Solution steps

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

\int 3 x^{2} d x = x^{3}

\int 2 d x = 2 x

= x^{3} - 2 x

Add a constant to the solution

= x^{3} - 2 x + C

Popular Examples

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\int \frac{ln ( x ^{3} )}{x ^{5}} d x

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\int (2 x - 7)^{3} d x

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\int \frac{- e ^{x}}{1 + e ^{x}} d x

integral of (x+34)/((x-6)(x+2))

\int \frac{x + 34}{( x - 6 ) ( x + 2 )} d x

integral of sin(piw)cos(piw)

\int sin (π w) cos (π w) d w

Frequently Asked Questions (FAQ)

What is the integral of (3x^2-2) ?
The integral of (3x^2-2) is x^3-2x+C