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Popular >

integral of 12x^2-6x

Solution

\int 12 x^{2} - 6 x d x

Solution

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

Solution steps

\int 12 x^{2} - 6 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 12 x^{2} d x - \int 6 x d x

\int 12 x^{2} d x = 4 x^{3}

\int 6 x d x = 3 x^{2}

= 4 x^{3} - 3 x^{2}

Add a constant to the solution

= 4 x^{3} - 3 x^{2} + C

Graph

Popular Examples

(\partial)/(\partial x)(2sqrt(xy)-ye^{y/z})

\frac{\partial}{\partial x} (2 x y - y e^{\frac{y}{z}})

integral of sqrt(1+1/(x^{2/3))}

\int 1 + \frac{1}{x ^{\frac{2}{3}}} d x

limit as x approaches 1 of 5x^2+1

x \to 1 lim (5 x^{2} + 1)

tangent of y=x^2+4x+9,\at x=8 tangent of

y = x^{2} + 4 x + 9, at x = 8

derivative of sqrt(x^2-4)

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

Frequently Asked Questions (FAQ)

What is the integral of 12x^2-6x ?
The integral of 12x^2-6x is 4x^3-3x^2+C