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Popular >

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

Popular Examples

integral from 2 to 4 of 10+4x-3x^3

\int_{2}^{4} 10 + 4 x - 3 x^{3} d x

tangent of 2x-2x^2 tangent of

2 x - 2 x^{2}

derivative of 0.9x^33^x derivative of

0.9 x^{3} 3^{x}

(\partial)/(\partial x)((4sqrt(x))/(3y^2+1))

\frac{\partial}{\partial x} (\frac{4 x}{3 y ^{2} + 1})

derivative of 3x^2-1-x^3

\frac{d}{d x} (3 x^{2} - 1 - x^{3})

Frequently Asked Questions (FAQ)

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