1 / | | 1 | 1*-------- dx | 2 | 9*x - 1 | / 0
Integral(1/(9*x^2 - 1*1), (x, 0, 1))
Rewrite the integrand:
The integral of a constant times a function is the constant times the integral of the function:
Integrate term-by-term:
The integral of is .
The integral of a constant times a function is the constant times the integral of the function:
The integral of is .
So, the result is:
The result is:
So, the result is:
Add the constant of integration:
The answer is:
/ | | 1 log(1/3 + x) log(-1/3 + x) | 1*-------- dx = C - ------------ + ------------- | 2 6 6 | 9*x - 1 | /
Use the examples entering the upper and lower limits of integration.