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Popular Calculus >

integral of x^2-y^2

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

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(\partial)/(\partial y)(4x^3y^3-3)

Frequently Asked Questions (FAQ)

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