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Popular Calculus >

integral of 2xy-9x^2

Solution

\int 2 x y - 9 x^{2} d x

Solution

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

Solution steps

\int 2 x y - 9 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 9 x^{2} d x + \int 2 y x d x

\int 9 x^{2} d x = 3 x^{3}

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

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

Add a constant to the solution

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

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral of 2xy-9x^2 ?
The integral of 2xy-9x^2 is -3x^3+yx^2+C