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