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Popular >

integral of (4x+3x^2)

Solution

\int (4 x + 3 x^{2}) d x

Solution

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

Solution steps

\int 4 x + 3 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 3 x^{2} d x

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

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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