162E2-S2009

# 162E2-S2009 - MA 16200 Exam 2 1 Evaluate the integral 2 0...

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MA 16200 Exam 2 Spring 2009 1. Evaluate the integral: Z 2 0 x 2 p 4 - x 2 dx A. π/ 2 B. π C. 2 π D. 4 π E. 8 π 2. Z dx 4 - x 2 A. 1 2 ln | 2+ x | ln | 2 - x | + C B. 1 2 ln | 2 - x |- 1 2 ln | 2+ x | + C C. 1 2 ln | 2+ x |- 1 2 ln | 2 - x | + C D. 1 4 ln | 2+ x |- 1 4 ln | 2 - x | + C E. 1 4 ln | 2 - x |- 1 4 ln | 2+ x | + C 1

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MA 16200 Exam 2 Spring 2009 3. The Trapezoidal Rule approximation of Z 1 2 0 sin( x 2 ) dx with n =3 is given by A. 1 6 (sin 0 2 +sin 1 6 2 +sin 1 3 2 ) B. 1 12 (sin 0 2 +2sin 1 6 2 +2sin 1 3 2 +sin 1 2 2 ) C. 1 8 (sin 0 2 +sin 1 6 2 +sin 1 3 2 +sin 1 2 2 ) D. 1 12 (2 sin 0 2 +2sin 1 6 2 +2sin 1 3 2 +2sin 1 2 2 ) E. 1 12 (sin 0 2 +2sin 1 6 2 +4sin 1 3 2 +2sin 1 2 2 ) 4. Which of the following is the most suitable substitution to evaluate the integral Z p 6+ x 2 dx A. x = 6tan θ B. x = 6 sec θ C. x = 6 sec θ D. x =6s in θ E. x = 6sin θ
MA 16200 Exam 2 Spring 2009 5. Evaluate the integral below, if it converges Z e

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162E2-S2009 - MA 16200 Exam 2 1 Evaluate the integral 2 0...

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