Sr Examen
Integral de (sinx+cosx)/(3+sin2x) dx
Solución
Ha introducido
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1 / | | sin(x) + cos(x) | --------------- dx | 3 + sin(2*x) | / 0
$$\int\limits_{0}^{1} \frac{\sin{\left(x \right)} + \cos{\left(x \right)}}{\sin{\left(2 x \right)} + 3}\, dx$$
Integral((sin(x) + cos(x))/(3 + sin(2*x)), (x, 0, 1))
Respuesta (Indefinida)
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/ / / | | | | sin(x) + cos(x) | cos(x) | sin(x) | --------------- dx = C + | ------------ dx + | ------------ dx | 3 + sin(2*x) | 3 + sin(2*x) | 3 + sin(2*x) | | | / / /
$$\int \frac{\sin{\left(x \right)} + \cos{\left(x \right)}}{\sin{\left(2 x \right)} + 3}\, dx = C + \int \frac{\sin{\left(x \right)}}{\sin{\left(2 x \right)} + 3}\, dx + \int \frac{\cos{\left(x \right)}}{\sin{\left(2 x \right)} + 3}\, dx$$
Respuesta
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1 / | | cos(x) + sin(x) | --------------- dx | 3 + sin(2*x) | / 0
$$\int\limits_{0}^{1} \frac{\sin{\left(x \right)} + \cos{\left(x \right)}}{\sin{\left(2 x \right)} + 3}\, dx$$
=
=
1 / | | cos(x) + sin(x) | --------------- dx | 3 + sin(2*x) | / 0
$$\int\limits_{0}^{1} \frac{\sin{\left(x \right)} + \cos{\left(x \right)}}{\sin{\left(2 x \right)} + 3}\, dx$$
Integral((cos(x) + sin(x))/(3 + sin(2*x)), (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.