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Popular >

integral of 3y^2-2xy

Solution

\int 3 y^{2} - 2 x y d x

Solution

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

Solution steps

\int 3 y^{2} - 2 x y 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 3 y^{2} d x - \int 2 y x d x

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

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

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

Add a constant to the solution

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

Popular Examples

integral of (x+10)/(x^2-5x)

\int \frac{x + 10}{x ^{2} - 5 x} d x

integral of-e^{5x}

\int - e^{5 x} d x

integral of (2x^3+3x-4)/(x+2)

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

integral of (x^2+1)/(x^2-4x+4)

\int \frac{x ^{2} + 1}{x ^{2} - 4 x + 4} d x

integral of cos^2(w/2)

\int cos^{2} (\frac{w}{2}) d w

Frequently Asked Questions (FAQ)

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