Today I worked on a super fun integral! The idea for this problem is to first expand ln(1+x) into a Maclaurin series, then substitute this series into the integral, integrate each term separately to get an alternating square series (1−1/4+1/9−1/16+⋯). This series is related to the Basel problem's ζ(2)=π²/6, because the alternating signs make the result exactly half of it, so the final result of the integral is π²/12! I calculated it faster than the professor! ☺️#dev #life