Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) x4 18x2 4 x5 30x3 20x dx

Your integrand is missing some symbols. My best interpretation is the following integral:

Decompose into partial fractions; we're looking for an expansion of the form

Now:

Matching up coefficients tells us that

so that

The integral is trivial:

For the second integral, notice that

Distribute the 4 over the numerator, then substitute and :

So we have

and with some simplification,