Sr Examen
Integral de 2^(-x)(6+3^(x-1)) dx
Solución
Ha introducido
[src]
1 / | | -x / x - 1\ | 2 *\6 + 3 / dx | / 0
$$\int\limits_{0}^{1} 2^{- x} \left(3^{x - 1} + 6\right)\, dx$$
Integral(2^(-x)*(6 + 3^(x - 1)), (x, 0, 1))
Gráfica
Respuesta
[src]
21*log(2) 18*log(3) 18*log(3) 19*log(2)
- --------------------------- - --------------------------- + --------------------------- + ---------------------------
2 2 2 2
6*log (2) - 6*log(2)*log(3) 3*log (2) - 3*log(2)*log(3) 6*log (2) - 6*log(2)*log(3) 3*log (2) - 3*log(2)*log(3)
$$\frac{19 \log{\left(2 \right)}}{- 3 \log{\left(2 \right)} \log{\left(3 \right)} + 3 \log{\left(2 \right)}^{2}} + \frac{18 \log{\left(3 \right)}}{- 6 \log{\left(2 \right)} \log{\left(3 \right)} + 6 \log{\left(2 \right)}^{2}} - \frac{21 \log{\left(2 \right)}}{- 6 \log{\left(2 \right)} \log{\left(3 \right)} + 6 \log{\left(2 \right)}^{2}} - \frac{18 \log{\left(3 \right)}}{- 3 \log{\left(2 \right)} \log{\left(3 \right)} + 3 \log{\left(2 \right)}^{2}}$$
=
=
21*log(2) 18*log(3) 18*log(3) 19*log(2)
- --------------------------- - --------------------------- + --------------------------- + ---------------------------
2 2 2 2
6*log (2) - 6*log(2)*log(3) 3*log (2) - 3*log(2)*log(3) 6*log (2) - 6*log(2)*log(3) 3*log (2) - 3*log(2)*log(3)
$$\frac{19 \log{\left(2 \right)}}{- 3 \log{\left(2 \right)} \log{\left(3 \right)} + 3 \log{\left(2 \right)}^{2}} + \frac{18 \log{\left(3 \right)}}{- 6 \log{\left(2 \right)} \log{\left(3 \right)} + 6 \log{\left(2 \right)}^{2}} - \frac{21 \log{\left(2 \right)}}{- 6 \log{\left(2 \right)} \log{\left(3 \right)} + 6 \log{\left(2 \right)}^{2}} - \frac{18 \log{\left(3 \right)}}{- 3 \log{\left(2 \right)} \log{\left(3 \right)} + 3 \log{\left(2 \right)}^{2}}$$
-21*log(2)/(6*log(2)^2 - 6*log(2)*log(3)) - 18*log(3)/(3*log(2)^2 - 3*log(2)*log(3)) + 18*log(3)/(6*log(2)^2 - 6*log(2)*log(3)) + 19*log(2)/(3*log(2)^2 - 3*log(2)*log(3))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.