∫(lnx)²/xdx
1 / | | 2 1 | log (x)*-*1 dx | x | / 0
Integral(log(x)^2*1/x, (x, 0, 1))
There are multiple ways to do this integral.
Let .
Then let and substitute :
The integral of is when :
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:
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:
Add the constant of integration:
The answer is:
/ | 3 | 2 1 log (x) | log (x)*-*1 dx = C + ------- | x 3 | /
Use the examples entering the upper and lower limits of integration.