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Popular Calculus >

integral of x(18x+4)

Solution

\int x (18 x + 4) d x

Solution

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

Solution steps

\int x (18 x + 4) d x

Expand

x (18 x + 4) : 18 x^{2} + 4 x

= \int 18 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 18 x^{2} d x + \int 4 x d x

\int 18 x^{2} d x = 6 x^{3}

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

= 6 x^{3} + 2 x^{2}

Add a constant to the solution

= 6 x^{3} + 2 x^{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of x(18x+4) ?
The integral of x(18x+4) is 6x^3+2x^2+C