1 / | | log(x - 1) dx | / 0
Integral(log(x - 1), (x, 0, 1))
There are multiple ways to do this integral.
Let .
Then let and substitute :
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:
Now substitute back in:
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.
Rewrite the integrand:
Integrate term-by-term:
The integral of a constant is the constant times the variable of integration:
Let .
Then let and substitute :
The integral of is .
Now substitute back in:
The result is:
Now simplify:
Add the constant of integration:
The answer is:
/ | | log(x - 1) dx = 1 + C - x + (x - 1)*log(x - 1) | /
Use the examples entering the upper and lower limits of integration.