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