Question

How do you evaluate the integral of `int e^(ln(x^(2)+1))dx` from -2 to -1?

Answer 1

You have that

`int_-2^-1 e^(ln(x^(2)+1))dx=int_-2^-1 (x^2+1)dx=[x^3/3+x]_-2^-1=10/3`

We used the following property

`e^(lna)=a`