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Popular >

integral of x^2-3y^2

Solution

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

Solution

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

Solution steps

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

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 y - \int 3 y^{2} d y

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

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

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

Add a constant to the solution

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

Popular Examples

integral of tan(x)*(sec(x))^2

\int tan (x) \cdot (sec (x))^{2} d x

integral of sqrt(x)*(x+1)

\int x \cdot (x + 1) d x

integral of (38-5x)-28

\int (38 - 5 x) - 28 d x

integral of (x^9-1)/(x^4)

\int \frac{x ^{9} - 1}{x ^{4}} d x

integral of 1/(x^3sqrt(ln(x)))

\int \frac{1}{x ^{3} ln ( x )} d x

Frequently Asked Questions (FAQ)

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