Practice problem
Let f(x)=1+12x+14x2+18x3+…f(x) = 1 + \frac12 x + \frac14 x^2 + \frac18 x^3 + \dotsf(x)=1+21x+41x2+81x3+… for −1≤x≤1-1\le x\le 1−1≤x≤1. Find e∫01f(x)dxe^{\int_0^1 f(x) dx}e∫01f(x)dx.
Source: HMMT February 1998
4
3
2
1
Type a concept, like “slope” or “photosynthesis”.
