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## Homework Statement

(A)

[itex]\int{\frac{(v^2+2v+4)dv}{v^3+v^2+2v+4}}[/itex]

(B)

[itex]\frac{\partial{M}}{\partial{y}}=(1-xy)^{-2}[/itex]

[itex]\frac{\partial{N}}{\partial{x}}=y^2+x^2(1-xy)^{-2}[/itex]

## Homework Equations

(A) How can I integrate this?

(B)After getting the partial derivatives, are they equal?

## The Attempt at a Solution

(A)This is actually I stopped since I cannot integrate it. I tried factoring the denominator so I can use integration by partial fractions. Unfortunately, I cannot. Any hint in integrating it?

(B)

[itex]\frac{\partial{M}}{\partial{y}}=\frac{2x}{1-xy}[/itex]

[itex]\frac{\partial{N}}{\partial{x}}=\frac{2x+2x^2y-2x^3y^2}{(1-xy)^2}[/itex]

Can I still factor the second equation so I can get the same answer like the [itex]\frac{\partial{M}}{\partial{y}}[/itex]?