1 / | | cos(2*x) | --------------- dx | 2 2 | sin (x)*cos (x) | / 0
Integral(cos(2*x)/((sin(x)^2*cos(x)^2)), (x, 0, 1))
Rewrite the integrand:
Integrate term-by-term:
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:
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:
The result is:
Now simplify:
Add the constant of integration:
The answer is:
/ | | cos(2*x) 2*cos(x) 2*cos(2*x) | --------------- dx = C - -------- + ---------- | 2 2 sin(x) sin(2*x) | sin (x)*cos (x) | /
Use the examples entering the upper and lower limits of integration.