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Popular >

integral of 3x^2+y^2

Solution

\int 3 x^{2} + y^{2} d x

Solution

y^{2} x + x^{3} + C

Solution steps

\int 3 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 3 x^{2} d x

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

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

= y^{2} x + x^{3}

Add a constant to the solution

= y^{2} x + x^{3} + C

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Frequently Asked Questions (FAQ)

What is the integral of 3x^2+y^2 ?
The integral of 3x^2+y^2 is y^2x+x^3+C