Sr Examen
Integral de sinx/sqrt(-cos2x) dx
Solución
Ha introducido
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pi -- 2 / | | sin(x) | ------------- dx | ___________ | \/ -cos(2*x) | / 3*pi ---- 2
$$\int\limits_{\frac{3 \pi}{2}}^{\frac{\pi}{2}} \frac{\sin{\left(x \right)}}{\sqrt{- \cos{\left(2 x \right)}}}\, dx$$
Integral(sin(x)/sqrt(-cos(2*x)), (x, 3*pi/2, pi/2))
Respuesta (Indefinida)
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/ / | | | sin(x) | sin(x) | ------------- dx = C + | ------------- dx | ___________ | ___________ | \/ -cos(2*x) | \/ -cos(2*x) | | / /
$$\int \frac{\sin{\left(x \right)}}{\sqrt{- \cos{\left(2 x \right)}}}\, dx = C + \int \frac{\sin{\left(x \right)}}{\sqrt{- \cos{\left(2 x \right)}}}\, dx$$
Respuesta
[src]
pi -- 2 / | | sin(x) | ------------- dx | ___________ | \/ -cos(2*x) | / 3*pi ---- 2
$$\int\limits_{\frac{3 \pi}{2}}^{\frac{\pi}{2}} \frac{\sin{\left(x \right)}}{\sqrt{- \cos{\left(2 x \right)}}}\, dx$$
=
=
pi -- 2 / | | sin(x) | ------------- dx | ___________ | \/ -cos(2*x) | / 3*pi ---- 2
$$\int\limits_{\frac{3 \pi}{2}}^{\frac{\pi}{2}} \frac{\sin{\left(x \right)}}{\sqrt{- \cos{\left(2 x \right)}}}\, dx$$
Integral(sin(x)/sqrt(-cos(2*x)), (x, 3*pi/2, pi/2))
Respuesta numérica
[src]
(3.01076270148865e-14 + 9.35202419373543e-16j)
(3.01076270148865e-14 + 9.35202419373543e-16j)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.