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