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