Sr Examen
Integral de x^2*3^x*d*x dx
Solución
Ha introducido
[src]
1 / | | 2 x | x *3 *d*x dx | / 0
$$\int\limits_{0}^{1} x d 3^{x} x^{2}\, dx$$
Integral(((x^2*3^x)*d)*x, (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | x / 3 3 2 2 \ | 2 x 3 *\-6*d + d*x *log (3) - 3*d*x *log (3) + 6*d*x*log(3)/ | x *3 *d*x dx = C + -------------------------------------------------------- | 4 / log (3)
$$\int x d 3^{x} x^{2}\, dx = \frac{3^{x} \left(d x^{3} \log{\left(3 \right)}^{3} - 3 d x^{2} \log{\left(3 \right)}^{2} + 6 d x \log{\left(3 \right)} - 6 d\right)}{\log{\left(3 \right)}^{4}} + C$$
Respuesta
[src]
/ 3 2 \
3*\-6*d + d*log (3) - 3*d*log (3) + 6*d*log(3)/ 6*d
----------------------------------------------- + -------
4 4
log (3) log (3)
$$\frac{6 d}{\log{\left(3 \right)}^{4}} + \frac{3 \left(- 6 d - 3 d \log{\left(3 \right)}^{2} + d \log{\left(3 \right)}^{3} + 6 d \log{\left(3 \right)}\right)}{\log{\left(3 \right)}^{4}}$$
=
=
/ 3 2 \
3*\-6*d + d*log (3) - 3*d*log (3) + 6*d*log(3)/ 6*d
----------------------------------------------- + -------
4 4
log (3) log (3)
$$\frac{6 d}{\log{\left(3 \right)}^{4}} + \frac{3 \left(- 6 d - 3 d \log{\left(3 \right)}^{2} + d \log{\left(3 \right)}^{3} + 6 d \log{\left(3 \right)}\right)}{\log{\left(3 \right)}^{4}}$$
3*(-6*d + d*log(3)^3 - 3*d*log(3)^2 + 6*d*log(3))/log(3)^4 + 6*d/log(3)^4
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.