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Popular >

integral of 6xy

Solution

\int 6 x y d x

Solution

3 y x^{2} + C

Solution steps

\int 6 x y d x

Take the constant out:

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

= 6 y \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

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

Simplify

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

= 3 y x^{2}

Add a constant to the solution

= 3 y x^{2} + C

Popular Examples

implicit (dy)/(dx),(4x+4y)3=64x^3+64y^3 implicit derivative

\frac{d y}{d x}, (4 x + 4 y) 3 = 64 x^{3} + 64 y^{3}

tangent of f(x)=-3-5x^2,\at x=3 tangent of

f (x) = - 3 - 5 x^{2}, at x = 3

integral of 1/(sqrt(2+3x-2x^2))

\int \frac{1}{2 + 3 x - 2 x ^{2}} d x

(dy}{dx}=\frac{(x-y))/x

\frac{d y}{d x} = \frac{( x - y )}{x}

derivative of e^{(a^2)/(2a+1)}derivative of

e^{\frac{a ^{2}}{2 a + 1}}

Frequently Asked Questions (FAQ)

What is the integral of 6xy ?
The integral of 6xy is 3yx^2+C