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