Integral de (2^x)/(1+(4^x)) dx
Solución
Respuesta (Indefinida)
[src]
/
|
| x / x\
| 2 atan\2 /
| ------ dx = C + --------
| x log(2)
| 1 + 4
|
/
∫4x+12xdx=C+log(2)atan(2x)
Gráfica
/ 2 \ / 2 \
RootSum\4*z + 1, i -> i*log(2 + 2*i)/ RootSum\4*z + 1, i -> i*log(1 + 2*i)/
-------------------------------------- - --------------------------------------
log(2) log(2)
−log(2)RootSum(4z2+1,(i↦ilog(2i+1)))+log(2)RootSum(4z2+1,(i↦ilog(2i+2)))
=
/ 2 \ / 2 \
RootSum\4*z + 1, i -> i*log(2 + 2*i)/ RootSum\4*z + 1, i -> i*log(1 + 2*i)/
-------------------------------------- - --------------------------------------
log(2) log(2)
−log(2)RootSum(4z2+1,(i↦ilog(2i+1)))+log(2)RootSum(4z2+1,(i↦ilog(2i+2)))
RootSum(4*_z^2 + 1, Lambda(_i, _i*log(2 + 2*_i)))/log(2) - RootSum(4*_z^2 + 1, Lambda(_i, _i*log(1 + 2*_i)))/log(2)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.