What is int_(2)^(3) (x-1)/(x^3)+x^2dx ?
1 Answer
Explanation:
First of all, let's split this integral (we can do this thanks to a property called linearity):
Now we can find a primitive function for each of the three integrand functions and evaluate them in the integration extrema:
Now we just sum up the three results (the second one has to be subtracted!) and get
Note: To calculate the three primitives, we used the same rule: all the functions of type