PROBLEM # 2
Calculate integral of arctan(x) dx from -1 to 1.

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Problems from 06/21/12

PROBLEM #1
Is the number prime or composite?

SOLUTION 1
Composite.

PROBLEM #2
A confused bank teller transposed the dollars and cents when he cashed a check for me, giving me dollars instead of cents and cents instead of dollars.  After buying a newspaper for 50 cents, I noticed that I had left exactly three times as much as the original check.  What was the amount of the check?

SOLUTION 2
$18.56.


Congratulations to Abhimanyu Bhargava, Aseem Chandawarkar, Kishore Balsara, Satyavani Sithalam, Suhas Joglekar and Suhas Pathak, who were the winners of the last set of puzzles.