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Popular >

integral of 3y^2-2x

Solution

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

Solution

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

Solution steps

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

\int 2 x d y = 2 x y

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

= - 2 x y + y^{3}

Add a constant to the solution

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

Popular Examples

derivative of ln(ln(2x^4))

\frac{d}{d x} (ln (ln (2 x^{4})))

integral of (4x)/(x^4-12x^2+45)

\int \frac{4 x}{x ^{4} - 12 x ^{2} + 45} d x

tangent of f(x)=4x^2,\at x=1 tangent of

f (x) = 4 x^{2}, at x = 1

(\partial)/(\partial x)(x^{9y})

\frac{\partial}{\partial x} (x^{9 y})

(\partial)/(\partial u)(u*cos(v))

\frac{\partial}{\partial u} (u \cdot cos (v))

Frequently Asked Questions (FAQ)

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