Sr Examen
Integral de tan2x(pi/(4*x)) dx
Solución
Ha introducido
[src]
pi -- 4 / | | pi | tan(2*x)*--- dx | 4*x | / 0
$$\int\limits_{0}^{\frac{\pi}{4}} \frac{\pi}{4 x} \tan{\left(2 x \right)}\, dx$$
Integral(tan(2*x)*(pi/((4*x))), (x, 0, pi/4))
Respuesta (Indefinida)
[src]
/
|
| tan(2*x)
pi* | -------- dx
/ | x
| |
| pi /
| tan(2*x)*--- dx = C + -----------------
| 4*x 4
|
/
$$\int \frac{\pi}{4 x} \tan{\left(2 x \right)}\, dx = C + \frac{\pi \int \frac{\tan{\left(2 x \right)}}{x}\, dx}{4}$$
Respuesta
[src]
pi
--
4
/
|
| tan(2*x)
pi* | -------- dx
| x
|
/
0
------------------
4
$$\frac{\pi \int\limits_{0}^{\frac{\pi}{4}} \frac{\tan{\left(2 x \right)}}{x}\, dx}{4}$$
=
=
pi
--
4
/
|
| tan(2*x)
pi* | -------- dx
| x
|
/
0
------------------
4
$$\frac{\pi \int\limits_{0}^{\frac{\pi}{4}} \frac{\tan{\left(2 x \right)}}{x}\, dx}{4}$$
pi*Integral(tan(2*x)/x, (x, 0, pi/4))/4
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.