Sr Examen
Integral de e^(-2x)dx/((e^(2x)+5))^7 dx
Solución
Ha introducido
[src]
1 / | | -2*x | E | ----------- dx | 7 | / 2*x \ | \E + 5/ | / 0
$$\int\limits_{0}^{1} \frac{e^{- 2 x}}{\left(e^{2 x} + 5\right)^{7}}\, dx$$
Integral(E^(-2*x)/(E^(2*x) + 5)^7, (x, 0, 1))
Gráfica
Respuesta
[src]
/1 -2\
-2 7*log|- + e | -2 -4 -6 -8 -10
2709743 7*log(6/5) e \5 / 669 + 18270*e + 202125*e + 1137500*e + 3281250*e + 3937500*e
------------- - ---------- - ------ + -------------- + -------------------------------------------------------------------------------------------------------------------------
1093500000000 781250 156250 781250 -2 -4 -6 -8 -12 -10
46875000 + 1406250000*e + 17578125000*e + 117187500000*e + 439453125000*e + 732421875000*e + 878906250000*e
$$\frac{7 \log{\left(e^{-2} + \frac{1}{5} \right)}}{781250} - \frac{7 \log{\left(\frac{6}{5} \right)}}{781250} - \frac{1}{156250 e^{2}} + \frac{2709743}{1093500000000} + \frac{\frac{3937500}{e^{10}} + 669 + \frac{3281250}{e^{8}} + \frac{18270}{e^{2}} + \frac{1137500}{e^{6}} + \frac{202125}{e^{4}}}{\frac{732421875000}{e^{12}} + \frac{878906250000}{e^{10}} + 46875000 + \frac{439453125000}{e^{8}} + \frac{1406250000}{e^{2}} + \frac{117187500000}{e^{6}} + \frac{17578125000}{e^{4}}}$$
=
=
/1 -2\
-2 7*log|- + e | -2 -4 -6 -8 -10
2709743 7*log(6/5) e \5 / 669 + 18270*e + 202125*e + 1137500*e + 3281250*e + 3937500*e
------------- - ---------- - ------ + -------------- + -------------------------------------------------------------------------------------------------------------------------
1093500000000 781250 156250 781250 -2 -4 -6 -8 -12 -10
46875000 + 1406250000*e + 17578125000*e + 117187500000*e + 439453125000*e + 732421875000*e + 878906250000*e
$$\frac{7 \log{\left(e^{-2} + \frac{1}{5} \right)}}{781250} - \frac{7 \log{\left(\frac{6}{5} \right)}}{781250} - \frac{1}{156250 e^{2}} + \frac{2709743}{1093500000000} + \frac{\frac{3937500}{e^{10}} + 669 + \frac{3281250}{e^{8}} + \frac{18270}{e^{2}} + \frac{1137500}{e^{6}} + \frac{202125}{e^{4}}}{\frac{732421875000}{e^{12}} + \frac{878906250000}{e^{10}} + 46875000 + \frac{439453125000}{e^{8}} + \frac{1406250000}{e^{2}} + \frac{117187500000}{e^{6}} + \frac{17578125000}{e^{4}}}$$
2709743/1093500000000 - 7*log(6/5)/781250 - exp(-2)/156250 + 7*log(1/5 + exp(-2))/781250 + (669 + 18270*exp(-2) + 202125*exp(-4) + 1137500*exp(-6) + 3281250*exp(-8) + 3937500*exp(-10))/(46875000 + 1406250000*exp(-2) + 17578125000*exp(-4) + 117187500000*exp(-6) + 439453125000*exp(-8) + 732421875000*exp(-12) + 878906250000*exp(-10))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.