Sr Examen
Integral de x^(x(pi+e+1))+pi^(x(e+1))+e^(x(pi+1)) dx
Solución
Ha introducido
[src]
1 / | | / x*(pi + E + 1) x*(E + 1) x*(pi + 1)\ | \x + pi + E / dx | / 0
$$\int\limits_{0}^{1} \left(e^{x \left(1 + \pi\right)} + \left(\pi^{x \left(1 + e\right)} + x^{x \left(1 + \left(e + \pi\right)\right)}\right)\right)\, dx$$
Integral(x^(x*(pi + E + 1)) + pi^(x*(E + 1)) + E^(x*(pi + 1)), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / | x*(pi + 1) x*(E + 1) | | / x*(pi + E + 1) x*(E + 1) x*(pi + 1)\ e pi | x*(1 + E + pi) | \x + pi + E / dx = C + ----------- + --------------- + | x dx | 1 + pi (1 + E)*log(pi) | / /
$$\int \left(e^{x \left(1 + \pi\right)} + \left(\pi^{x \left(1 + e\right)} + x^{x \left(1 + \left(e + \pi\right)\right)}\right)\right)\, dx = \frac{\pi^{x \left(1 + e\right)}}{\left(1 + e\right) \log{\left(\pi \right)}} + C + \frac{e^{x \left(1 + \pi\right)}}{1 + \pi} + \int x^{x \left(1 + e + \pi\right)}\, dx$$
Respuesta
[src]
1
/
1 + E 1 + pi |
1 1 pi e | x*(1 + E + pi)
- ------ - ------------------- + ------------------- + ------- + | x dx
1 + pi E*log(pi) + log(pi) E*log(pi) + log(pi) 1 + pi |
/
0
$$\int\limits_{0}^{1} x^{x \left(1 + e + \pi\right)}\, dx - \frac{1}{1 + \pi} - \frac{1}{\log{\left(\pi \right)} + e \log{\left(\pi \right)}} + \frac{e^{1 + \pi}}{1 + \pi} + \frac{\pi^{1 + e}}{\log{\left(\pi \right)} + e \log{\left(\pi \right)}}$$
=
=
1
/
1 + E 1 + pi |
1 1 pi e | x*(1 + E + pi)
- ------ - ------------------- + ------------------- + ------- + | x dx
1 + pi E*log(pi) + log(pi) E*log(pi) + log(pi) 1 + pi |
/
0
$$\int\limits_{0}^{1} x^{x \left(1 + e + \pi\right)}\, dx - \frac{1}{1 + \pi} - \frac{1}{\log{\left(\pi \right)} + e \log{\left(\pi \right)}} + \frac{e^{1 + \pi}}{1 + \pi} + \frac{\pi^{1 + e}}{\log{\left(\pi \right)} + e \log{\left(\pi \right)}}$$
-1/(1 + pi) - 1/(E*log(pi) + log(pi)) + pi^(1 + E)/(E*log(pi) + log(pi)) + exp(1 + pi)/(1 + pi) + Integral(x^(x*(1 + E + pi)), (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.