1 / | | 1 | --------------- dx | sin(x) - cos(x) | / 0
Integral(1/(sin(x) - cos(x)), (x, 0, 1))
Rewrite the integrand:
The integral of a constant times a function is the constant times the integral of the function:
Don't know the steps in finding this integral.
But the integral is
So, the result is:
Now simplify:
Add the constant of integration:
The answer is:
/ ___ / ___ /x\\ ___ / ___ /x\\ | \/ 2 *log|1 - \/ 2 + tan|-|| \/ 2 *log|1 + \/ 2 + tan|-|| | 1 \ \2// \ \2// | --------------- dx = C + ----------------------------- - ----------------------------- | sin(x) - cos(x) 2 2 | /
Use the examples entering the upper and lower limits of integration.