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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

Graph

Popular Examples

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\int \frac{x ^{2}}{( 100 - x ^{2} ) ^{\frac{3}{2}}} d x

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

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integral of sin(t^{1/2})

\int sin (t^{\frac{1}{2}}) d t

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

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