1 / | | cos(x) + 1 | ---------- dx | sin(x) | / 0
Integral((cos(x) + 1)/sin(x), (x, 0, 1))
Rewrite the integrand:
Integrate term-by-term:
Let .
Then let and substitute :
The integral of is .
Now substitute back in:
Don't know the steps in finding this integral.
But the integral is
The result is:
Add the constant of integration:
The answer is:
/ | | cos(x) + 1 log(-1 + cos(x)) log(1 + cos(x)) | ---------- dx = C + ---------------- - --------------- + log(sin(x)) | sin(x) 2 2 | /
Use the examples entering the upper and lower limits of integration.