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Popular >

integral of 2x-6x^2

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

integral of (2x^3)/((1-4x^2)^{3/4)}

\int \frac{2 x ^{3}}{( 1 - 4 x ^{2} ) ^{\frac{3}{4}}} d x

integral of 2xe^2

\int 2 x e^{2} d x

integral of 1/(sqrt(x)\sqrt[4]{x)}

integral of (3/8 x-10)^5

\int (\frac{3}{8} x - 10)^{5} d x

integral of (3x)/(2x-1)

\int \frac{3 x}{2 x - 1} d x

Frequently Asked Questions (FAQ)

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