Integral de sin(log(x))^2/x dx
Solución
Respuesta (Indefinida)
[src]
/
| /log(x)\ 3/log(x)\ 4/log(x)\ 2/log(x)\
| 2 2*tan|------| 2*tan |------| tan |------|*log(x) 2*tan |------|*log(x)
| sin (log(x)) log(x) \ 2 / \ 2 / \ 2 / \ 2 /
| ------------ dx = C + ----------------------------------- - ----------------------------------- + ----------------------------------- + ----------------------------------- + -----------------------------------
| x 4/log(x)\ 2/log(x)\ 4/log(x)\ 2/log(x)\ 4/log(x)\ 2/log(x)\ 4/log(x)\ 2/log(x)\ 4/log(x)\ 2/log(x)\
| 2 + 2*tan |------| + 4*tan |------| 2 + 2*tan |------| + 4*tan |------| 2 + 2*tan |------| + 4*tan |------| 2 + 2*tan |------| + 4*tan |------| 2 + 2*tan |------| + 4*tan |------|
/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \ 2 /
∫xsin2(log(x))dx=C+2tan4(2log(x))+4tan2(2log(x))+2log(x)tan4(2log(x))+2tan4(2log(x))+4tan2(2log(x))+22log(x)tan2(2log(x))+2tan4(2log(x))+4tan2(2log(x))+2log(x)+2tan4(2log(x))+4tan2(2log(x))+22tan3(2log(x))−2tan4(2log(x))+4tan2(2log(x))+22tan(2log(x))
1
/
|
| 2
| sin (log(x))
| ------------ dx
| x
|
/
0
0∫1xsin2(log(x))dx
=
1
/
|
| 2
| sin (log(x))
| ------------ dx
| x
|
/
0
0∫1xsin2(log(x))dx
Integral(sin(log(x))^2/x, (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.