1 / | | x ___ | \/ E | ----- dx | 2 | x | / 0
Integral(E^(1/x)/x^2, (x, 0, 1))
There are multiple ways to do this integral.
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 a constant is the constant times the variable of integration:
So, the result is:
Now substitute back in:
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 the exponential function is itself.
So, the result is:
Now substitute back in:
Add the constant of integration:
The answer is:
/ | 1 | x ___ - | \/ E x | ----- dx = C - e | 2 | x | /
Use the examples entering the upper and lower limits of integration.