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Popular >

integral of (3x^2-2x)

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

integral of cos(2kx)

\int cos (2 k x) d x

derivative of 2-4x^2

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

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

\int \frac{x}{x ^{2} - x + 1} d x

(dy)/(dx)=(x-y)/(x+2y),y(0)=1

\frac{d y}{d x} = \frac{x - y}{x + 2 y}, y (0) = 1

integral from 0 to 2 of 1/((x+1)^4)

\int_{0}^{2} \frac{1}{( x + 1 ) ^{4}} d x

Frequently Asked Questions (FAQ)

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