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Popular >

integral of 2y-x^2

Solution

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

Solution

- \frac{x ^{3}}{3} + 2 y x + C

Solution steps

\int 2 y - x^{2} 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 x^{2} d x + \int 2 y d x

\int x^{2} d x = \frac{x ^{3}}{3}

\int 2 y d x = 2 y x

= - \frac{x ^{3}}{3} + 2 y x

Add a constant to the solution

= - \frac{x ^{3}}{3} + 2 y x + C

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Frequently Asked Questions (FAQ)

What is the integral of 2y-x^2 ?
The integral of 2y-x^2 is -(x^3)/3+2yx+C