Integral de 3*dx/(e^(2*x)-2*e^x+3) dx
Solución
Respuesta (Indefinida)
[src]
/ ___ / x\\
/ ___ |\/ 2 *\-1 + E /|
| / x 2*x\ \/ 2 *atan|---------------|
| 3 log\3 - 2*e + e / \ 2 / / x\
| --------------- dx = C - -------------------- + --------------------------- + log\E /
| 2*x x 2 2
| E - 2*E + 3
|
/
∫(−2ex+e2x)+33dx=C+log(ex)−2log(e2x−2ex+3)+22atan(22(ex−1))
Gráfica
/ 2 \ / 2 \
1 - RootSum\8*z + 8*z + 3, i -> i*log(2 + 4*i)/ + RootSum\8*z + 8*z + 3, i -> i*log(1 + E + 4*i)/
−RootSum(8z2+8z+3,(i↦ilog(4i+2)))+RootSum(8z2+8z+3,(i↦ilog(4i+1+e)))+1
=
/ 2 \ / 2 \
1 - RootSum\8*z + 8*z + 3, i -> i*log(2 + 4*i)/ + RootSum\8*z + 8*z + 3, i -> i*log(1 + E + 4*i)/
−RootSum(8z2+8z+3,(i↦ilog(4i+2)))+RootSum(8z2+8z+3,(i↦ilog(4i+1+e)))+1
1 - RootSum(8*_z^2 + 8*_z + 3, Lambda(_i, _i*log(2 + 4*_i))) + RootSum(8*_z^2 + 8*_z + 3, Lambda(_i, _i*log(1 + E + 4*_i)))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.