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:

y - y1 = m(x- x1)

y - (-5) = 2/3(x -0)

y + 5 = 2/3x

y = 2/3x - 5

answer: 94

step-by-step explanation: 79+91+92+94+94 = 450 divided by 5 (since there are 5 number that are being added) = 90