1 / | | -log(x) dx | / 0
Integral(-log(x), (x, 0, 1))
The integral of a constant times a function is the constant times the integral of the function:
Use integration by parts:
Let and let .
Then .
To find :
The integral of a constant is the constant times the variable of integration:
Now evaluate the sub-integral.
The integral of a constant is the constant times the variable of integration:
So, the result is:
Now simplify:
Add the constant of integration:
The answer is:
/ | | -log(x) dx = C + x - x*log(x) | /
Use the examples entering the upper and lower limits of integration.