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Popular Calculus >

integral of 4x-y

Solution

\int 4 x - y d x

Solution

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

Solution steps

\int 4 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 4 x d x

\int y d x = y x

\int 4 x d x = 2 x^{2}

= - y x + 2 x^{2}

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 4x-y ?
The integral of 4x-y is -yx+2x^2+C