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Popular Calculus >

integral of (x-3y^2)

Solution

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

Solution

x y - y^{3} + C

Solution steps

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

\int x d y = x y

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

= x y - y^{3}

Add a constant to the solution

= x y - y^{3} + C

Graph

Popular Examples

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\frac{d}{d x} (\frac{tan ( x )}{6 x sec ( x )})

(\partial)/(\partial x)(sex)

\frac{\partial}{\partial x} (se x)

5 y^{^{''}} - 4 y = 0

integral of r/(sqrt(4+r^2))

\int \frac{r}{4 + r ^{2}} d r

integral of sqrt(91-6x-x^2)

\int 91 - 6 x - x^{2} d x

Frequently Asked Questions (FAQ)

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