What is expand (2x+y/(1+x^2y^2))dx ?

The solution to expand (2x+y/(1+x^2y^2))dx is 2xdx+(ydx)/(1+x^2y^2)

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expand (2x+y/(1+x^2y^2))dx

expand

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

2 x d x + \frac{y d x}{1 + x ^{2} y ^{2}}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = d x, b = 2 x, c = \frac{y}{1 + x ^{2} y ^{2}}

= d x \cdot 2 x + d x \frac{y}{1 + x ^{2} y ^{2}}

= 2 x d x + \frac{y}{1 + x ^{2} y ^{2}} d x

Multiply

\frac{y}{1 + x ^{2} y ^{2}} d x : \frac{y d x}{1 + x ^{2} y ^{2}}

= 2 x d x + \frac{y d x}{1 + x ^{2} y ^{2}}

\frac{2 x}{( s - 1 ) ( s ^{2} + 25 )}

(e^{5 x} + e^{2 x})^{2} d x

lo g_{5} (x y^{3})

\frac{10 0 ^{2}}{2}

\frac{1}{( 1 + v ^{2} ) ^{2}}

What is expand (2x+y/(1+x^2y^2))dx ?
The solution to expand (2x+y/(1+x^2y^2))dx is 2xdx+(ydx)/(1+x^2y^2)