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Popular >

integral of 6x^2-2x

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

integral of 2/(x^2+2x-15)

\int \frac{2}{x ^{2} + 2 x - 15} d x

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

integral of (11x+2)/(2x^2-5x-3)

\int \frac{11 x + 2}{2 x ^{2} - 5 x - 3} d x

integral of-(sin(2x))/2

\int - \frac{sin ( 2 x )}{2} d x

integral of 3x^2*sqrt(x^3+1)

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

Frequently Asked Questions (FAQ)

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