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sinx議膨肝圭箔音協持蛍?? 狛殻

(sinx)^4 = (sinx^2)^2 = ((1 - cos2x)/2)^2 = (1 - 2cos2x + (cos2x)^2)/4 = 0.25 - 0.5cos2x + 0.125(1 + cos4x) = (cos4x)/8 - (cos2x)/2 + 3/8 〈 (sinx)^4dx = 〈 ((cos4x)/8 - (cos2x)/2 + 3/8)dx = 〈 ((cos4x)/8)dx - 〈 ((cos2x)/2)dx + 〈 ...

〈(sinx)^4dx =〈[(1/2)(1-cos2x]^2dx =(1/4)〈[1-2cos2x+(cos2x)^2]dx =(1/4)〈[1-2cos2x+(1/2)(1+cos4x)]dx =(3/8)〈dx-(1/2)〈cos2xdx+(1/8)〈cos4xdx =(3/8)〈dx-(1/4)〈cos2xd2x+(1/32)〈cos4xd4x =(3/8)x-(1/4)sin2x+(1/32)sin4x+C 制婢彿創 譜F(x...

喘巷塀(sinu)^2=(1-cos2u)/2 式(cosu)^2=(1+cos2u)/2 畠何週欺匯肝議 囑欺cosAu*cosBu扮喘持晒才餓巷塀。

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眉叔痕方冴吉塀(sinx)^2+(cosx)^2=11-cos2x=2(sinx)^2 圻塀=〈(sinx)^2*[1-(cosx)^2]dx =〈(sinx)^2dx-〈(sinxcosx)^2dx =(1/2)*〈2(sinx)^2dx-(1/4)*〈(2sinxcosx)^2dx =(1/2)*〈(1-cos2x)dx-(1/4)*〈(sin2x)^2dx =(1/2)*[x-(1/2)*sin(2x)]-(1/8)*...

萩出厘鋲措議弌爺聞

〈(cosx/sin⁴x)dx =〈(1/sin⁴x)d(sinx) =(-⅓)/sin³x +C =-⅓csc³x +C

cosx議峠圭 晒葎 1-sinx議峠圭 sinx議n肝圭餓持蛍燕95辛參臥欺

基(1/1024)sin8x - (1/128)sin4x - 3x/128 + C 〈 sin⁴xcos⁴x dx = 〈 ((sin2x)/2)⁴ dx = (1/16)〈 sin⁴(2x) dx = (1/32)〈 sin⁴(2x) d(2x)綜u=2x = (1/32)〈 sin⁴u du = (1/32)〈 [ (e^(iu) - e^(- iu))/2i ...

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