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Popular >

integral of (2x-2y)

Solution

\int (2 x - 2 y) d y

Solution

2 x y - y^{2} + C

Solution steps

\int 2 x - 2 y d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 2 x d y - \int 2 y d y

\int 2 x d y = 2 x y

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

= 2 x y - y^{2}

Add a constant to the solution

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

Popular Examples

integral of x^2sqrt(x^3+32)

\int x^{2} x^{3} + 32 d x

integral of e^{7x-7}

\int e^{7 x - 7} d x

integral of (ln(9x))/(x^5)

\int \frac{ln ( 9 x )}{x ^{5}} d x

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

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

integral of 5e^x+7

\int 5 e^{x} + 7 d x

Frequently Asked Questions (FAQ)

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