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Popular Calculus >

integral of 4x+6x^2

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

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\int x^{2} + 21 d x

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\int (x + 2)^{15} d x

integral of 1/(sqrt(12+x^2))

\int \frac{1}{12 + x ^{2}} d x

integral of ((x))/(x^2+4)

\int \frac{( x )}{x ^{2} + 4} d x

integral of sin(38t)sec^2(cos(38t))

\int sin (38 t) sec^{2} (cos (38 t)) d t

Frequently Asked Questions (FAQ)

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