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 12 Help me evaluate limit of sequence 6 Evaluating $\int\frac{x^{1/2}}{1+x^2}\,dx.$ 5 how many zeroes does 2012! have at the end? 4 Is there a quicker way of doing this integral? 4 Is my proof correct: if $n$ is odd then $n^2$ is odd?

### Reputation (1,247)

 +10 Number of triplets of collinear points in a standard setting +10 Find the range of the given expression? +5 Number of ways in which $38808$ can be expressed as a product of 2 coprime factors? +5 Find The Last 3 digits of the number $2003^{2002^{2001}}$

### Questions (11)

 9 Find The Last 3 digits of the number $2003^{2002^{2001}}$ 4 Finding the unit digit of the following expressions, A and B. 4 Probability that a coin lands on tails an odd number of times when it is tossed $100$ times 2 About Bell Polynomials 2 Why does multinomial theorem only works for identical set of objects?

### Tags (42)

 34 calculus × 14 8 differential-equations × 4 23 integration × 12 6 inequality × 7 16 limits × 4 5 probability × 4 10 algebra-precalculus × 14 5 number-theory 9 indefinite-integrals × 3 3 elementary-number-theory × 6

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