Sr Examen
Integral de sin(x)/cos(2*x) dx
Solución
Ha introducido
[src]
pi -- 21 / | | sin(x) | -------- dx | cos(2*x) | / 0
$$\int\limits_{0}^{\frac{\pi}{21}} \frac{\sin{\left(x \right)}}{\cos{\left(2 x \right)}}\, dx$$
Integral(sin(x)/cos(2*x), (x, 0, pi/21))
Respuesta (Indefinida)
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/ / | | | sin(x) | sin(x) | -------- dx = C + | -------- dx | cos(2*x) | cos(2*x) | | / /
$$\int \frac{\sin{\left(x \right)}}{\cos{\left(2 x \right)}}\, dx = C + \int \frac{\sin{\left(x \right)}}{\cos{\left(2 x \right)}}\, dx$$
Respuesta
[src]
___ / ___ /pi\\
\/ 2 *acoth|\/ 2 *cos|--|| ___ / ___\
\ \21// \/ 2 *acoth\\/ 2 /
-------------------------- - ------------------
2 2
$$- \frac{\sqrt{2} \operatorname{acoth}{\left(\sqrt{2} \right)}}{2} + \frac{\sqrt{2} \operatorname{acoth}{\left(\sqrt{2} \cos{\left(\frac{\pi}{21} \right)} \right)}}{2}$$
=
=
___ / ___ /pi\\
\/ 2 *acoth|\/ 2 *cos|--|| ___ / ___\
\ \21// \/ 2 *acoth\\/ 2 /
-------------------------- - ------------------
2 2
$$- \frac{\sqrt{2} \operatorname{acoth}{\left(\sqrt{2} \right)}}{2} + \frac{\sqrt{2} \operatorname{acoth}{\left(\sqrt{2} \cos{\left(\frac{\pi}{21} \right)} \right)}}{2}$$
sqrt(2)*acoth(sqrt(2)*cos(pi/21))/2 - sqrt(2)*acoth(sqrt(2))/2
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.