0 / | | sin(x) | ---------- dx | 1 - cos(x) | / 0
Integral(sin(x)/(1 - cos(x)), (x, 0, 0))
There are multiple ways to do this integral.
Let .
Then let and substitute :
The integral of is .
Now substitute back in:
Rewrite the integrand:
The integral of a constant times a function is the constant times the integral of the function:
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:
So, the result is:
Add the constant of integration:
The answer is:
/ | | sin(x) | ---------- dx = C + log(1 - cos(x)) | 1 - cos(x) | /
Use the examples entering the upper and lower limits of integration.