Sr Examen
Integral de x\(x^2+8x+18)*(x-6) dx
Solución
Ha introducido
[src]
1 / | | x | -------------*(x - 6) dx | 2 | x + 8*x + 18 | / 0
$$\int\limits_{0}^{1} \frac{x}{\left(x^{2} + 8 x\right) + 18} \left(x - 6\right)\, dx$$
Integral((x/(x^2 + 8*x + 18))*(x - 6), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | / ___ \ | x / 2 \ ___ |\/ 2 *(4 + x)| | -------------*(x - 6) dx = C + x - 7*log\18 + x + 8*x/ + 19*\/ 2 *atan|-------------| | 2 \ 2 / | x + 8*x + 18 | /
$$\int \frac{x}{\left(x^{2} + 8 x\right) + 18} \left(x - 6\right)\, dx = C + x - 7 \log{\left(x^{2} + 8 x + 18 \right)} + 19 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(x + 4\right)}{2} \right)}$$
Gráfica
Respuesta
[src]
/ ___\
___ / ___\ ___ |5*\/ 2 |
1 - 7*log(27) + 7*log(18) - 19*\/ 2 *atan\2*\/ 2 / + 19*\/ 2 *atan|-------|
\ 2 /
$$- 19 \sqrt{2} \operatorname{atan}{\left(2 \sqrt{2} \right)} - 7 \log{\left(27 \right)} + 1 + 7 \log{\left(18 \right)} + 19 \sqrt{2} \operatorname{atan}{\left(\frac{5 \sqrt{2}}{2} \right)}$$
=
=
/ ___\
___ / ___\ ___ |5*\/ 2 |
1 - 7*log(27) + 7*log(18) - 19*\/ 2 *atan\2*\/ 2 / + 19*\/ 2 *atan|-------|
\ 2 /
$$- 19 \sqrt{2} \operatorname{atan}{\left(2 \sqrt{2} \right)} - 7 \log{\left(27 \right)} + 1 + 7 \log{\left(18 \right)} + 19 \sqrt{2} \operatorname{atan}{\left(\frac{5 \sqrt{2}}{2} \right)}$$
1 - 7*log(27) + 7*log(18) - 19*sqrt(2)*atan(2*sqrt(2)) + 19*sqrt(2)*atan(5*sqrt(2)/2)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.