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Popular >

integral of 2x-y

Solution

\int 2 x - y d x

Solution

- y x + x^{2} + C

Solution steps

\int 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 y d x + \int 2 x d x

\int y d x = y x

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

= - y x + x^{2}

Add a constant to the solution

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

Graph

Popular Examples

x^{2} y^{^{'}} + y^{^{'}} = x y

area y=x^2+30x+225,y=17(x+15)area

y = x^{2} + 30 x + 225, y = 17 (x + 15)

integral of (5x-2)/(x^2+6x+8)

\int \frac{5 x - 2}{x ^{2} + 6 x + 8} d x

y^{''}-4y=6e^{(-t)},y(0)=0,y^'(0)=0

y^{^{''}} - 4 y = 6 e^{(- t)}, y (0) = 0, y^{^{'}} (0) = 0

x y^{^{'}} - y + 2 = 0

Frequently Asked Questions (FAQ)

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