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Popular >

integral of 2y^2x-3

Solution

\int 2 y^{2} x - 3

Solution

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

Solution steps

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

\int 3 d y = 3 y

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

= - 3 y + \frac{2 x y ^{3}}{3}

Add a constant to the solution

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

Popular Examples

integral of e^{6x}cos(7x)

\int e^{6 x} cos (7 x) d x

limit as x approaches 1-of x^2

x \to 1 - lim (x^{2})

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\int (\frac{x}{1 + x ^{2}}) d x

derivative of 3x(sin(x+cos(x)))

\frac{d}{d x} (3 x (sin (x) + cos (x)))

Frequently Asked Questions (FAQ)

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