The integrand, f(t) = t/(t6 + 5), is an odd function. That is f(-t) = -f(t), so the integral between -3.7 and 0 exactly cancels the integral between 0 and +3.7, with the overall result of the integration being zero.
The integrand, f(t) = t/(t6 + 5), is an odd function. That is f(-t) = -f(t), so the integral between -3.7 and 0 exactly cancels the integral between 0 and +3.7, with the overall result of the integration being zero.