∫x−1x2dx
Final Answer: log(x)+1x
Step 1 :This is a problem of integral calculus. The integral is of a rational function.
Step 2 :We can simplify the integrand by dividing each term in the numerator by x2, which will make it easier to integrate.
Step 3 :The integral of the function x−1x2 is log(x)+1x.
Step 4 :Final Answer: log(x)+1x