1. The problem statement, all variables and given/known data: Evaluate: ∫-214 (1+X)-1/4 2. Relevant equations ∫ab f(x)dx = lim ∫at f(x)dx t→b- And ∫ab f(x)dx = lim ∫tb f(x)dx t→a+ 3. The attempt at a solution So far what I have done is: (-2,-1)∪(-1,14) Thus I set up two integrals and chose one to evaluate: ∫-2-1 dx/((1+x)1/4 + ∫-114 dx/(1+x)1/4 The second integral gave me a finite answer of 4/3(15)3/4 but the first one always leads me to an imaginary unit. From this point I understand WHY this is happening, and that led me to think the problem may have a typo but the thing is my professor told us that there is an answer. Also, no one in my class got this question correct so it was turned into homework. Any help will be appreciated. Thanks!