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