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