Hey guys, I need some help on these questions:
For 53: You want to perform long division first, because the degree of the numerator is greater than that of the denominator.
for 54: a) You need a partial fraction with denominator for each k value between 1 and m. The same applies to part b)
a) Multiply the numerator by 2 and divide by 2 before the integral sign. Note that the new numerator is the derivative of the denominator, so the resulting antiderivative is a one half times the logarithm of the denominator... plus a constant, of course.
b) partial fractions ... factor denominator, then split into fractions.