1 / | | log(x) | ------ dx | x | / 0
Integral(log(x)/x, (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:
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 is when :
So, the result is:
Now substitute back in:
So, the result is:
Now substitute back in:
Let .
Then let and substitute :
The integral of is when :
Now substitute back in:
Add the constant of integration:
The answer is:
/ | 2 | log(x) log (x) | ------ dx = C + ------- | x 2 | /
Use the examples entering the upper and lower limits of integration.