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Popular >

integral of (3x^2-4x)

Solution

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

Solution

x^{3} - 2 x^{2} + C

Solution steps

\int 3 x^{2} - 4 x 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 4 x d x

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

\int 4 x d x = 2 x^{2}

= x^{3} - 2 x^{2}

Add a constant to the solution

= x^{3} - 2 x^{2} + C

Popular Examples

integral of e^x(1+e^{-x})^{-2}

\int e^{x} (1 + e^{- x})^{- 2} d x

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integral of (1+3x+x^2)e^x

\int (1 + 3 x + x^{2}) e^{x} d x

integral of 3/(sqrt(x))+(xsqrt(x))/4

\int \frac{3}{x} + \frac{x x}{4} d x

integral of 1/((2x+1)^4)

\int \frac{1}{( 2 x + 1 ) ^{4}} d x

Frequently Asked Questions (FAQ)

What is the integral of (3x^2-4x) ?
The integral of (3x^2-4x) is x^3-2x^2+C