1 / | | 2 | sec (y) | ------- dy | tan(y) | / 0
Integral(sec(y)^2/tan(y), (y, 0, 1))
There are multiple ways to do this integral.
Let .
Then let and substitute :
The integral of is .
Now substitute back in:
Rewrite the integrand:
Let .
Then let and substitute :
The integral of a constant times a function is the constant times the integral of the function:
The integral of is .
So, the result is:
Now substitute back in:
Add the constant of integration:
The answer is:
/ | | 2 | sec (y) | ------- dy = C + log(tan(y)) | tan(y) | /
pi*I oo - ---- 2
=
pi*I oo - ---- 2
oo - pi*i/2
Use the examples entering the upper and lower limits of integration.