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Popular >

integral of x^2-6y

Solution

\int x^{2} - 6 y d y

Solution

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

Solution steps

\int x^{2} - 6 y 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 6 y d y

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

\int 6 y d y = 3 y^{2}

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

Add a constant to the solution

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

Popular Examples

(\partial)/(\partial x)(2^{x+3y})

\frac{\partial}{\partial x} (2^{x + 3 y})

area (12)/(x^2),-24x+36,0 area

\frac{12}{x ^{2}}, - 24 x + 36, 0

integral of (2x+3)/(sqrt(1+x^2))

\int \frac{2 x + 3}{1 + x ^{2}} d x

integral from 0 to 2 of 1/(1+x^2)

\int_{0}^{2} \frac{1}{1 + x ^{2}} d x

derivative of (e^x/(2x))

\frac{d}{d x} (\frac{e ^{x}}{2 x})

Frequently Asked Questions (FAQ)

What is the integral of x^2-6y ?
The integral of x^2-6y is x^2y-3y^2+C