How do I evaluate #int(e^(3x))/(e^(6x)-36)1/2dx#?
The solution is
First of all the
Then the substitution method will be used:
The integral now is:
In the last passage the denominator was factored.
Now it is necessary to "disjoint" the fraction in two fractions using this method:
The fraction on the left has to be identical to the one on the right, the two denominators are identical, so
Two polynomials are identical if they assume the same values for the same value of
The integral bacames:
In the last passage it was used the immediate integral:
It not necessary, but kind, to use the logarithmic property:
So the solution is:
Now it is necessary to "return" to the old variable,