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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

Popular Examples

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\int_{0}^{1} x 1 - x^{4} d x

integral of sqrt(x)sqrt(x^{3/2)-1}

\int x x^{\frac{3}{2}} - 1 d x

Frequently Asked Questions (FAQ)

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