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