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