Please show all work

8.8. Find the integral if it exists J5/2 V2x-5 1 dx Before you evaluate the integral, classify it an improper integral of type 1 or type 2. If type 2, which case (i), (ii) or (iii) applies. 9.9. Evaluate. J1 10 1 (x-4)2 dx if it exists HELP: The function f (x) =- (x-4)2 's discontinuous at 4 10.10. 00 3xtex a. Suppose we want to know if J x2 -dx convergent or divergent. To answer this fill out the parts below. 3xtex 3x Step 1. 2 x2 Explain in a sentence why this first inequality is true. Step 2. Explain if S, dx is convergent or divergent -co 3xtex Step 3. What is your conclusion from the integral comparison test about J x2 dx ? b. Suppose we want to know if J5 x-1 x3 (x-4)2 ax convergent or divergent. To answer this fill out the parts below. x-1 Step 1. S S x3 (x-4) 2 X 3 S x 2 Part 1. Explain in a sentence why Part 2. Explain in a sentence why this first inequality is true. this first inequality is true. Step 2. Explain if S1 2 dx is convergent or divergent 0 3xtex Step 3. What is your conclusion from the integral comparison test about J x2 -dx