Recent content by alexpeter_pen

Just to add to my previous answer the actual formula so one does not have to follow the site $$\displaystyle \int e^{\sin(x)} dx=I_0(1)x + \frac{\pi}{2}L_0(1) + 2\sum_{n=1}^{+\infty} \frac{I_n(1)}{n} \sin \left ( nx - \frac{n\pi}{2} \right ) $$ Another nice way of solving definite integral...

The indefinite integral has a nice shape as well, still using special function but it depicts precisely the shape of the actual integral. https://mathoverflow.net/questions/303391/is-frac-pi4l-0z-sum-limits-n-1-infty-1n1-fraci-2n-1