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