Evaluate the integral using substitution

Econometricia
Messages
33
Reaction score
0
1. Evaluate the integral [0,ln(3)] of ff(x)=(e^2x + 1)^2 /e^x



I am having trouble locating what to substitute.
 
Physics news on Phys.org
No need for a substitution. Just expand (e2x + 1)2 and divide each term by ex.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top