Question Number 101597 by Rio Michael last updated on 03/Jul/20

 ∫ ln (1+ e^x ) dx = ..

Commented byDwaipayan Shikari last updated on 03/Jul/20

∫(e^x −(1/2)e^(2x) +(1/3)e^(3x) −(1/4)e^(4x) +(1/5)e^(5x) −(1/6)e^(6x) +....)dx  e^x −(e^(2x) /4)+(e^(3x) /9)−(e^(4x) /(16))+(e^(5x) /(25))−(e^(6x) /(36))+(e^(7x) /(49))−(e^(8x) /(64))+.......  It is approximate

Commented byfloor(10²Eta[1]) last updated on 03/Jul/20

Σ_(k=1) ^∞ (((−1)^(k+1) e^(kx) )/k^2 )+C

Commented byRio Michael last updated on 03/Jul/20

thank you sir