Integration Problem: \int\frac{dx}{1+x^2} vs \int\frac{1}{1+x^2}dx

[rugapark]

is $$\int\frac{dx}{1+x^{2}}$$ the same as $$\int\frac{1}{1+x^{2}}dx$$ ?

 

[Dick]

Sure. 1*dx=dx. Just different ways of writing the same thing.