2 -- pi / | | /1\ | sin|-| | \x/ | ------ dx | 2 | x | / 1 -- pi
Integral(sin(1/x)/x^2, (x, 1/pi, 2/pi))
Let .
Then let and substitute :
The integral of a constant times a function is the constant times the integral of the function:
The integral of sine is negative cosine:
So, the result is:
Now substitute back in:
Add the constant of integration:
The answer is:
/ | | /1\ | sin|-| | \x/ /1\ | ------ dx = C + cos|-| | 2 \x/ | x | /
Use the examples entering the upper and lower limits of integration.