Calculus 2 Hour Exam 1 - Math 231 Spring, 2017

1.	1 Evaluate the integral ∫ (3x+4)/[(x + 1)(x+3)] dx 0 Answer: I = (1/2) ln 2 + (5/2) ln 4 ˗ (5/2) ln 3
2.	Using a trig substitution transform the integral ∫ x^4 / (√ (x^2 ˗ 9 ) dx Answer: I = ∫ 81 sec^5 θ dθ
3.	5 Evaluate the integral ∫ ( ln x / x^2)dx 1 Answer: I = (1/5) ( 4 ˗ ln 5 )
4.	4 Evaluate ∫ cos √x dx Answer: I = 4 sin (2) + 2 cos(2) ˗ 2 0
5.	π/3 Evaluate ∫ 4 tan^3x sec x dx Answer: I = 16/3 0
6.	∞ Determine if the integral converges or diverges. I = ∫ [( 1 ˗ sin^4 x ) / (e^2x + x)] dx 1 Answer: Converges
7.	2 Determine if the integral converges or diverges. I = ∫ ( x^2 + 1) / x^4 dx 0 Answer: Diverges Click here to continue with this exam.

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