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**1. Homework Statement**

Question 1 :Find the value of [tex]\int^{\infty}_{0}[/tex][tex]\stackrel{dx}{a^{2} + x^{2}}[/tex]

Question 2 : Find the number of positive integral solutions of the equation :

[tex]x_{1}[/tex][tex]x_{2}[/tex][tex]x_{3}[/tex][tex]x_{4}[/tex][tex]x_{5}[/tex] = 1050

**2. Homework Equations**

Well I do not know any relevant equations.

**3. The Attempt at a Solution**

Well I tried the first question by substituting x with a(tan(y)) then I got sec[tex]^{12}[/tex] but then I don't know what to do. The second question has me stumped totally. I tried finding the factors of 1050 and then finding the permutations of the factors to get the answer but did not get it .

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