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