Sr Examen
Integral de 1/sqrt^5((2x-6)^3) dx
Solución
Ha introducido
[src]
-19 / | | 1 | ---------------- dx | 5 | ____________ | / 3 | \/ (2*x - 6) | / 3
$$\int\limits_{3}^{-19} \frac{1}{\left(\sqrt{\left(2 x - 6\right)^{3}}\right)^{5}}\, dx$$
Integral(1/((sqrt((2*x - 6)^3))^5), (x, 3, -19))
Respuesta (Indefinida)
[src]
/
|
___ | 1
\/ 2 * | --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- dx
| ________________________ ________________________ ________________________ ________________________ ________________________ ________________________ ________________________
| / 3 2 6 / 3 2 / 3 2 3 / 3 2 5 / 3 2 4 / 3 2 2 / 3 2
/ | 729*\/ -27 + x - 9*x + 27*x + x *\/ -27 + x - 9*x + 27*x - 1458*x*\/ -27 + x - 9*x + 27*x - 540*x *\/ -27 + x - 9*x + 27*x - 18*x *\/ -27 + x - 9*x + 27*x + 135*x *\/ -27 + x - 9*x + 27*x + 1215*x *\/ -27 + x - 9*x + 27*x
| |
| 1 /
| ---------------- dx = C + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
| 5 256
| ____________
| / 3
| \/ (2*x - 6)
|
/
$$\int \frac{1}{\left(\sqrt{\left(2 x - 6\right)^{3}}\right)^{5}}\, dx = C + \frac{\sqrt{2} \int \frac{1}{x^{6} \sqrt{x^{3} - 9 x^{2} + 27 x - 27} - 18 x^{5} \sqrt{x^{3} - 9 x^{2} + 27 x - 27} + 135 x^{4} \sqrt{x^{3} - 9 x^{2} + 27 x - 27} - 540 x^{3} \sqrt{x^{3} - 9 x^{2} + 27 x - 27} + 1215 x^{2} \sqrt{x^{3} - 9 x^{2} + 27 x - 27} - 1458 x \sqrt{x^{3} - 9 x^{2} + 27 x - 27} + 729 \sqrt{x^{3} - 9 x^{2} + 27 x - 27}}\, dx}{256}$$
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.