(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Lim (x→0) [ x^(-8) ∫ (0 to x^2) of (t-tan(t))/(1+t^2)dt ]

2. Relevant equations

3. The attempt at a solution

My first thought was to find the integral, then put (x^(-8)) into the solution of the integral and then do the limit.

I tried doing the substitution rule equating u= t-tan(t) and getting du=1-sec^2t dt. But then I had no idea of how to do the denominator as well as changing the upper and lower limits of the integral to correspond to the substitutions.

Any ideas on how to approach this question?

Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Integral with product and limit

**Physics Forums | Science Articles, Homework Help, Discussion**