Sr Examen
Integral de 4^x*(7+2^(-x)) dx
Solución
Ha introducido
[src]
1 / | | x / -x\ | 4 *\7 + 2 / dx | / 0
$$\int\limits_{0}^{1} 4^{x} \left(7 + 2^{- x}\right)\, dx$$
Integral(4^x*(7 + 2^(-x)), (x, 0, 1))
Gráfica
Respuesta
[src]
2*log(2) log(2)
-------- ------
log(4) log(4)
9 2*2 *log(2) + 7*2 *log(2)
- -------- + -------------------------------------
2*log(2) 2
2*log (2)
$$- \frac{9}{2 \log{\left(2 \right)}} + \frac{2 \cdot 2^{\frac{2 \log{\left(2 \right)}}{\log{\left(4 \right)}}} \log{\left(2 \right)} + 7 \cdot 2^{\frac{\log{\left(2 \right)}}{\log{\left(4 \right)}}} \log{\left(2 \right)}}{2 \log{\left(2 \right)}^{2}}$$
=
=
2*log(2) log(2)
-------- ------
log(4) log(4)
9 2*2 *log(2) + 7*2 *log(2)
- -------- + -------------------------------------
2*log(2) 2
2*log (2)
$$- \frac{9}{2 \log{\left(2 \right)}} + \frac{2 \cdot 2^{\frac{2 \log{\left(2 \right)}}{\log{\left(4 \right)}}} \log{\left(2 \right)} + 7 \cdot 2^{\frac{\log{\left(2 \right)}}{\log{\left(4 \right)}}} \log{\left(2 \right)}}{2 \log{\left(2 \right)}^{2}}$$
-9/(2*log(2)) + (2*2^(2*log(2)/log(4))*log(2) + 7*2^(log(2)/log(4))*log(2))/(2*log(2)^2)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.