Sr Examen
Integral de sqrt(ctg(x)-1)/((sin(x))^2) dx
Solución
Ha introducido
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pi -- 4 / | | ____________ | \/ cot(x) - 1 | -------------- dx | 2 | sin (x) | / 0
$$\int\limits_{0}^{\frac{\pi}{4}} \frac{\sqrt{\cot{\left(x \right)} - 1}}{\sin^{2}{\left(x \right)}}\, dx$$
Integral(sqrt(cot(x) - 1)/sin(x)^2, (x, 0, pi/4))
Respuesta (Indefinida)
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/ / | | | ____________ | _____________ | \/ cot(x) - 1 | \/ -1 + cot(x) | -------------- dx = C + | --------------- dx | 2 | 2 | sin (x) | sin (x) | | / /
$$\int \frac{\sqrt{\cot{\left(x \right)} - 1}}{\sin^{2}{\left(x \right)}}\, dx = C + \int \frac{\sqrt{\cot{\left(x \right)} - 1}}{\sin^{2}{\left(x \right)}}\, dx$$
Respuesta
[src]
pi -- 4 / | | _____________ | \/ -1 + cot(x) | --------------- dx | 2 | sin (x) | / 0
$$\int\limits_{0}^{\frac{\pi}{4}} \frac{\sqrt{\cot{\left(x \right)} - 1}}{\sin^{2}{\left(x \right)}}\, dx$$
=
=
pi -- 4 / | | _____________ | \/ -1 + cot(x) | --------------- dx | 2 | sin (x) | / 0
$$\int\limits_{0}^{\frac{\pi}{4}} \frac{\sqrt{\cot{\left(x \right)} - 1}}{\sin^{2}{\left(x \right)}}\, dx$$
Integral(sqrt(-1 + cot(x))/sin(x)^2, (x, 0, pi/4))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.