Calculus 2 Hour Exam 1 - Math 231 Spring, 2017 (continued)

8.	∞ Determine if the integral converges or diverges. I = ∫ [ ( ln x)^4 + sin^2 x ] / x^3 dx 1 Answer: Converges
9.	∞ Determine if the integral converges or diverges. I = ∫ [ ( 1 + sin^2 x ) / (3x ˗ 1) ] dx 1 Answer: Diverges
10.	∞ Evaluate the integral or show that it diverges. ∫ ( 10 / (2x + 7)^3 dx 0 Answer: I = 5/81
11.	Evaluate ∫ √( x^2 ˗ 16) / x^4 dx Answer: I = (1/48) [ (x^2 ˗ 16) / x ]^3/2 + C
12.	Evaluate ∫ [ e^2x / (e^x + 3) ] dx Answer: I = e^x + 3 ˗ 3 ln | e^x +3 | + C

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