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Popular >

integral of 6x^2-4x

Solution

\int 6 x^{2} - 4 x d x

Solution

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

Solution steps

\int 6 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 6 x^{2} d x - \int 4 x d x

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

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

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

Add a constant to the solution

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

Popular Examples

derivative of-(4e^{4/x}/(x^2))

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

(\partial)/(\partial x)(-2e^xln(y))

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

integral of (6/(5x^2)-1)

\int (\frac{6}{5 x ^{2}} - 1) d x

integral of 1/((x^2+8x+17)^2)

\int \frac{1}{( x ^{2} + 8 x + 17 ) ^{2}} d x

limit as x approaches 0 of (1+6x)^{4/x}

x \to 0 lim ((1 + 6 x)^{\frac{4}{x}})

Frequently Asked Questions (FAQ)

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