Evaluate the integral. (use c for the constant of integration.) x2 − 3x + 12 (x2 − 4x + 11)2 dx

If the integrand is

then the easiest way to compute this is to expand the product completely, then integrate the resulting polynomial.

If instead it's

you can split the integrand into partial fractions

On the right side, we have

so that

Then

In both denominators, we can complete the square to write

Then substitute

We have

Since

and

all the remaining integrals are trivial; we end up with

Reverse the substitution:

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !