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Popular >

integral of 3x^2-3y^2

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

d/(dt)(te^{(t)})

\frac{d}{d t} (t e^{(t)})

limit as x approaches-1 of 4x^3-3x^2+5

x \to - 1 lim (4 x^{3} - 3 x^{2} + 5)

limit as x approaches 0= of (sin(4x))/6

x \to 0 = lim (\frac{sin ( 4 x )}{6})

limit as x approaches 6+of (cos((5pi)/6))/(ln(7-x))

x \to 6 + lim (\frac{cos ( \frac{5 π}{6} )}{ln ( 7 - x )})

laplacetransform H^{1/2}laplace transform

H^{\frac{1}{2}}

Frequently Asked Questions (FAQ)

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