Sr Examen
Integral de (sin2x)/(sin^(2)(x+2)) dx
Solución
Ha introducido
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0 / | | sin(2*x) | ----------- dx | 2 | sin (x + 2) | / -pi ---- 2
$$\int\limits_{- \frac{\pi}{2}}^{0} \frac{\sin{\left(2 x \right)}}{\sin^{2}{\left(x + 2 \right)}}\, dx$$
Integral(sin(2*x)/sin(x + 2)^2, (x, -pi/2, 0))
Respuesta (Indefinida)
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/ / | | | sin(2*x) | cos(x)*sin(x) | ----------- dx = C + 2* | ------------- dx | 2 | 2 | sin (x + 2) | sin (x + 2) | | / /
$$\int \frac{\sin{\left(2 x \right)}}{\sin^{2}{\left(x + 2 \right)}}\, dx = C + 2 \int \frac{\sin{\left(x \right)} \cos{\left(x \right)}}{\sin^{2}{\left(x + 2 \right)}}\, dx$$
Respuesta
[src]
0 / | | sin(2*x) | ----------- dx | 2 | sin (2 + x) | / -pi ---- 2
$$\int\limits_{- \frac{\pi}{2}}^{0} \frac{\sin{\left(2 x \right)}}{\sin^{2}{\left(x + 2 \right)}}\, dx$$
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0 / | | sin(2*x) | ----------- dx | 2 | sin (2 + x) | / -pi ---- 2
$$\int\limits_{- \frac{\pi}{2}}^{0} \frac{\sin{\left(2 x \right)}}{\sin^{2}{\left(x + 2 \right)}}\, dx$$
Integral(sin(2*x)/sin(2 + x)^2, (x, -pi/2, 0))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.