integral trigonometri

Integral trigono:
Int sinx dx= -cosx +c
Int cosx dx= sinx +c
Int sinx cosx dx=(1/2)(sinx)^2 +c
Int cosx sinx dx= -(1/2)(cosx)^2 +c
Int cosax dx= (1/a)sinx +c
Dst...
Soal

1. Int (sinx)^5 dx=...
Jwb:

>>Int (sinx)^5 dx
>>Int (sinx)^4 sinx dx
>>Int [(sinx)^2]^2 sinx dx
>>Int [ 1-(cosx)^2]^2 sinx dx
>>Int [1-2(cosx)^2 +(cosx)^4 ] sinx dx
>>-{int [1-2(cosx)^2 +(cosx)^4 ](- sinx) dx}
>>-cosx+ (2/3)(cosx)^3 – (1/5) (cosx)^5 + C