oo / | | 1 | ------- dx | 5*x + 3 | / 2
Integral(1/(5*x + 3), (x, 2, oo))
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 .
So, the result is:
Now substitute back in:
Now simplify:
Add the constant of integration:
The answer is:
/ | | 1 log(5*x + 3) | ------- dx = C + ------------ | 5*x + 3 5 | /
Use the examples entering the upper and lower limits of integration.