Sr Examen
Integral de (6x-8)/(3(x^2)-4x+5)^4 dx
Solución
Ha introducido
[src]
2 / | | 6*x - 8 | ----------------- dx | 4 | / 2 \ | \3*x - 4*x + 5/ | / 1
$$\int\limits_{1}^{2} \frac{6 x - 8}{\left(\left(3 x^{2} - 4 x\right) + 5\right)^{4}}\, dx$$
Integral((6*x - 8)/(3*x^2 - 4*x + 5)^4, (x, 1, 2))
Gráfica
Respuesta
[src]
/ ____\ / ____\
____ |4*\/ 11 | ____ |\/ 11 |
135*\/ 11 *atan|--------| 135*\/ 11 *atan|------|
743891 \ 11 / \ 11 /
--------- - ------------------------- + -----------------------
186297408 58564 58564
$$- \frac{135 \sqrt{11} \operatorname{atan}{\left(\frac{4 \sqrt{11}}{11} \right)}}{58564} + \frac{135 \sqrt{11} \operatorname{atan}{\left(\frac{\sqrt{11}}{11} \right)}}{58564} + \frac{743891}{186297408}$$
=
=
/ ____\ / ____\
____ |4*\/ 11 | ____ |\/ 11 |
135*\/ 11 *atan|--------| 135*\/ 11 *atan|------|
743891 \ 11 / \ 11 /
--------- - ------------------------- + -----------------------
186297408 58564 58564
$$- \frac{135 \sqrt{11} \operatorname{atan}{\left(\frac{4 \sqrt{11}}{11} \right)}}{58564} + \frac{135 \sqrt{11} \operatorname{atan}{\left(\frac{\sqrt{11}}{11} \right)}}{58564} + \frac{743891}{186297408}$$
743891/186297408 - 135*sqrt(11)*atan(4*sqrt(11)/11)/58564 + 135*sqrt(11)*atan(sqrt(11)/11)/58564
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.