Integral of e^cos(x)*cos(sin(x)) from 0 to 2 pi

We will do the integral of e^cos(x)*cos(sin(x)) from 0 to 2pi and the integral of e^cos(x)*sin(sin(x)) from 0 to 2pi. These are two super cool integrals and we will use complex numbers to integrate them. We can also use a similar approach to find the sum of 1/n^2, aka the Basel problem. Check it out here:    • a spectacular solution to 1+1/2^2+1/3^2+.....   Subscribe to ‪@blackpenredpen‬ for more fun math videos. #calculus #maths #complexnumbers