Evaluate the integral by using a substitution prior to integration by parts.
A. x cos (ln x) + sin (ln x)+ C
B. 
[cos (ln x) + sin (ln x)] + C
C. x[cos (ln x) + sin (ln x)] + C
D. 
[cos (ln x) - sin (ln x)] + C
Answer: B
Mathematics
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Determine if the series converges or diverges; if the series converges, find its sum.
A. Converges; 5
B. Converges; 1
C. Converges; 
D. Diverges
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Multiply and simplify if possible.
A. 2
B. 2x4
C. 4x4
D. 2x8
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Use the addition principle for counting to solve the problem.If n(A) = 5, n(B) = 11 and n(A ? B) = 3, what is n(A ? B)?
A. 14 B. 13 C. 11 D. 12
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Find a function P(x) of least possible degree, having real coefficients, with the given zeros.1 + 
, 1 - 
, 1 + i
A. P(x) = x4 + 3x3 + 4x2 - 1 B. P(x) = x4 + 6x3 + 4x2 - 4 C. P(x) = x4 - 6x3 + 8x2 - 4 D. P(x) = x4 - 4x3 + 4x2 - 4
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