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Popular Calculus >

integral of y^2-2x

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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