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Popular >

integral of 2xy

Solution

\int 2 x y d x

Solution

y x^{2} + C

Solution steps

\int 2 x y d x

Take the constant out:

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

= 2 y \cdot \int x d x

Apply the Power Rule

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

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

Simplify

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

= y x^{2}

Add a constant to the solution

= y x^{2} + C

Popular Examples

limit as x approaches 1 of 1+1/x

x \to 1 lim (1 + \frac{1}{x})

integral from-1 to 1 of (2x)/((x+6)^2)

\int_{- 1}^{1} \frac{2 x}{( x + 6 ) ^{2}} d x

xy^'+y=-6xy^2,y(1)=9

x y^{^{'}} + y = - 6 x y^{2}, y (1) = 9

100y^{''}-729y=0,y(0)=3,y^'(0)=1

100 y^{^{''}} - 729 y = 0, y (0) = 3, y^{^{'}} (0) = 1

tangent of f(x)= 1/(sqrt(x)),\at x=4 tangent of

f (x) = \frac{1}{x}, at x = 4

Frequently Asked Questions (FAQ)

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