Sr Examen
Integral de (-x-3)/(-x^2+8x+20)^0.5 dx
Solución
Ha introducido
[src]
5 / | | -x - 3 | -------------------- dx | _________________ | / 2 | \/ - x + 8*x + 20 | / 0
$$\int\limits_{0}^{5} \frac{- x - 3}{\sqrt{\left(- x^{2} + 8 x\right) + 20}}\, dx$$
Integral((-x - 3)/sqrt(-x^2 + 8*x + 20), (x, 0, 5))
Respuesta (Indefinida)
[src]
/ / / | | | | -x - 3 | x | 1 | -------------------- dx = C - | ---------------------- dx - 3* | ------------------ dx | _________________ | ____________________ | _______________ | / 2 | \/ -(-10 + x)*(2 + x) | / 2 | \/ - x + 8*x + 20 | | \/ 20 - x + 8*x | / | / /
$$\int \frac{- x - 3}{\sqrt{\left(- x^{2} + 8 x\right) + 20}}\, dx = C - \int \frac{x}{\sqrt{- \left(x - 10\right) \left(x + 2\right)}}\, dx - 3 \int \frac{1}{\sqrt{- x^{2} + 8 x + 20}}\, dx$$
Respuesta
[src]
5 5
/ /
| |
| 3 | x
- | -------------------- dx - | -------------------- dx
| _______ ________ | _______ ________
| \/ 2 + x *\/ 10 - x | \/ 2 + x *\/ 10 - x
| |
/ /
0 0
$$- \int\limits_{0}^{5} \frac{3}{\sqrt{10 - x} \sqrt{x + 2}}\, dx - \int\limits_{0}^{5} \frac{x}{\sqrt{10 - x} \sqrt{x + 2}}\, dx$$
=
=
5 5
/ /
| |
| 3 | x
- | -------------------- dx - | -------------------- dx
| _______ ________ | _______ ________
| \/ 2 + x *\/ 10 - x | \/ 2 + x *\/ 10 - x
| |
/ /
0 0
$$- \int\limits_{0}^{5} \frac{3}{\sqrt{10 - x} \sqrt{x + 2}}\, dx - \int\limits_{0}^{5} \frac{x}{\sqrt{10 - x} \sqrt{x + 2}}\, dx$$
-Integral(3/(sqrt(2 + x)*sqrt(10 - x)), (x, 0, 5)) - Integral(x/(sqrt(2 + x)*sqrt(10 - x)), (x, 0, 5))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.