# Math Help - Integrals

1. ## Integrals

1. Evaluate K=integral((x+4)^2/(x^2+8x+17)^(5/2))dx. The lower limit is -4 and the upper limit is -3.

I have first tried by completing the square of the bottom polynomial which gives (x+4)^2+1 and i know I am supposed to use partial fraction decomposition. The thing that troubles me with this question is splitting it up so i can work from a common denominator and find the coefficients. Help is much apppreciated!

2. Evaluate J=integral((7x^2+42x+72)/((x+3)^2(x^2+6x+18)))dx.

I started of this question by using the substitution u=x+3, but im not entirely sure what to do to decompose into partial fractions.

Thanks to all who helped.

2. For 1 use the trig substitution x+4 = tan(t)

For 2 use a partial fraction decomp

3. I know that, but i cant fiqure it out still.

4. See attachment