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Popular >

integral of 6x^2y

Solution

\int 6 x^{2} y d y

Solution

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

Solution steps

\int 6 x^{2} y d y

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 6 x^{2} \cdot \int y d y

Apply the Power Rule

: \frac{y ^{2}}{2}

= 6 x^{2} \frac{y ^{2}}{2}

Simplify

6 x^{2} \frac{y ^{2}}{2} : 3 x^{2} y^{2}

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

Add a constant to the solution

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

Popular Examples

(\partial)/(\partial L)(bL^3{K}(b)(b)^2)

\frac{\partial}{\partial L} (b L^{3} K (b) (b)^{2})

tangent of y=((x^2-1))/((x^2+x+1))tangent of

y = \frac{( x ^{2} - 1 )}{( x ^{2} + x + 1 )}

derivative of 6x^{3/2}sec(x)

\frac{d}{d x} (6 x^{\frac{3}{2}} sec (x))

x^2y^{''}-xy^'+y=0,y=x

x^{2} y^{^{''}} - x y^{^{'}} + y = 0, y = x

derivative of-0.4x^2+2.2x+4.7

\frac{d}{d x} (- 0.4 x^{2} + 2.2 x + 4.7)

Frequently Asked Questions (FAQ)

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