Question

∫$\frac{-2e^{x} }{e^{2x} +1}$

Asta e integrala in caz ca nu se intelege simbolul ala micut, din (-2e^x)/(e^2x+1).

Answer 1

e^x=y  e^xdx=dy  Intgrala  devine
F(y)=-∫dy/(y²+1)=-arctg y+C
Revii  la  x
F(x)= -arctg e^x+C