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Popular >

integral of (6x^2-8x)

Solution

\int (6 x^{2} - 8 x) d x

Solution

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

Solution steps

\int 6 x^{2} - 8 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 6 x^{2} d x - \int 8 x d x

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

\int 8 x d x = 4 x^{2}

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

Add a constant to the solution

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

Graph

Popular Examples

y^{''}+4y^'+5=0

y^{^{''}} + 4 y^{^{'}} + 5 = 0

integral of-7x^6

\int - 7 x^{6} d x

derivative of y=(-3-5y)/(-8y+5x)derivative of

y = \frac{- 3 - 5 y}{- 8 y + 5 x}

(t^2-xt^2)(dx)/(dt)+x^2+tx^2=0

(t^{2} - x t^{2}) \frac{d x}{d t} + x^{2} + t x^{2} = 0

integral from 0 to 1 of xe^{-3x}

\int_{0}^{1} x e^{- 3 x} d x

Frequently Asked Questions (FAQ)

What is the integral of (6x^2-8x) ?
The integral of (6x^2-8x) is 2x^3-4x^2+C