pi / | | sin(2021)*x | ----------- dx | pi*sin(x) | / 0
Integral(sin(2021)*x/((pi*sin(x))), (x, 0, pi))
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:
Add the constant of integration:
The answer is:
/ | | x | ------ dx*sin(2021) / | sin(x) | | | sin(2021)*x / | ----------- dx = C + ---------------------- | pi*sin(x) pi | /
pi / | | x | ------ dx*sin(2021) | sin(x) | / 0 ----------------------- pi
=
pi / | | x | ------ dx*sin(2021) | sin(x) | / 0 ----------------------- pi
Use the examples entering the upper and lower limits of integration.