What is the integral of 2xy-tan(y) ?

The integral of 2xy-tan(y) is -tan(y)x+yx^2+C

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integral of 2xy-tan(y)

\int 2 x y - tan (y) d x

- tan (y) x + y x^{2} + C

Solution steps

\int 2 x y - tan (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 tan (y) d x + \int 2 y x d x

\int tan (y) d x = tan (y) x

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

= - tan (y) x + y x^{2}

Add a constant to the solution

= - tan (y) x + y x^{2} + C

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\int \frac{1}{V ^{2}} d V

\int x (- sin (x)) d x

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