sin∧4x

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sin∧4x
求不定积分 ∫ sin∧4x/cos∧2x dx

∫(sinx)^4/(cosx)^2dx=∫(1-(cosx)^2)^2/(cosx)^2dx=∫(1+(cosx)^4-2(cosx)^2)/(cosx)^2dx=∫1/(cosx)^2+(cosx

求积分 dx/(4+sin^2 (x))

见图,我觉得应该是对的,你自己再看看过程哈,我敢保证方法是对的

sin^2x+cos^2x)(sin^4x-sin^2xcos^2x+cos^4x) =sin^4x-sin^2xcos

那个前半括号里面相加等于一

三角等式求证:cos^6x+sin^6x=1-3sin^2x+3sin^4x

用公式a³+b³=(a+b)(a²-ab+b²)cos^6x+sin^6x=(cos²x)³+(sin²x)³=(cos

∫sinx/(1+sin^4x)

∫sinx/(1+sin^4x)dx=∫dcosx/(1+(1-cos^2x)^2)=∫dcosx/(2-2cos^2x+cos^4x)=∫du/(2-2u^2+u^4)=.查不定积分表吧再问:积分表

d/dx sin^8(cos(4x))

d/dxsin^8(cos(4x))=8sin^7(cos(4x)dsin(cos(4x)/dx=8sin^7(cos(4x)*cos(cos(4x))dcos(4x)/dx=8sin^7(cos(4

根号下(sin""x+4cos"x)-根号下(cos""x+4sin"x)=?

√[(sinx)^4+4(cosx)^2]-√[(cosx)^4+4(sinx)^2]=√[((sinx)^2-2)^2]-√[((cosx)^2-2)^2]=(sinx)^2-2-[(cosx)^2

y=sin(π/4+x/2)sin(π/4-x/2) =sin(π/4+x/2)sin[π/2-(π/4+x/2)]

sin(π/4+x/2)sin(π/4-x/2)=sin(π/4+x/2)sin[π/2-(π/4+x/2)]∵π/4=π/2-π/4∴sin(π/4-x/2)=sin(π/2-π/4-x)=sin[

s = 2*sin(x)-sin(2*x)+2/3*sin(3*x)-1/2*sin(4*x)+2/5*sin(5*x)

x=0:0.1:2*pi;s=2*sin(x)-sin(2*x)+2/3*sin(3*x)-1/2*sin(4*x)+2/5*sin(5*x);plot(x,s)

证明sinx+siny+sinz-sin(x+y+z)=4sin((x+y)/2)sin((x+y)/2)sin((x+

sinx+siny+sinz-sin(x+y+z)=4sin[(x+y)/2]sin[(x+z)/2]sin[(y+z)/2]sinx+siny+sinz-sin(x+y+z)=2sin[(x+y)/

求不定积分1/sin^4x

∫1/sin⁴xdx=∫csc⁴xdx=∫csc²xd(-cotx)=-cotxcsc²x+∫cotxd(csc²x)=-cotxcsc²

化简[1-(sin^4x-sin^2cos^2x+cos^4x)/(sin^2)]+3sin^2x

sin^4x-sin^2xcos^2x+cos^4x=sin^4x+2sin^2xcos^2x+cos^4x-3sin^2xcos^2x=(sin^2x+cos^2x)^2-3sin^2xcos^2x

求不定积分cosx/4-sin^2x

∫cosx/(4-sin^2x)dx=∫1/(4-sin^2x)dsinx=1/4∫[1/(2-sinx)+1/(2+sinx)]dsinx=1/4ln(2+sinx)-1/4ln(2-sinx)+C

已知函数fx=(1+1/tanx)sin^x-2sin(x+π/4)sin(x-π/4)

f(x)=(1+1/tanx)*(sinx)^2-2sin(x+π/2)sin(x-π/4)=(1+cosx/sinx)*(sinx)^2+2sin(x+π/4)cos[(x-π/4)+π/2]=(s

已知4sin∧2x-6sinx-cos∧2x+3cosx=0

求什么再问:请问我现在是提问到网上了吗?再答:是再问:我想用的是搜索,不好意思再问:第一次用APP再答:恩再答:没事再答:查到了不,没有告诉我问题再问:可以删除吗?再答:不用删,没关系的再问:求cos

∫sin (4-5x) dx

[cos(4-5x)]/5+C

求证(cos^2 x-sin^2 x)(cos^4 x+sin^4 x)+1/4 sin 2x sin 4x=cos 2

证明:∵cos²x-sin²x=cos2xcos⁴x+sin⁴x=1-2cos²xsin²x=1-(1-cos4x)/4=3/4+(co

证明sin^2(x)+cos^2(x+30)+sin(x)cos(x+30)=3/4

sin^2(x)+cos^2(x+30)+sin(x)cos(x+30)=sin^2(x)+cos(x+30)[cos(x+30)+sinx]=sin^2(x)+cos(x+30)(cosxcos30

用cos x表示sin^4 x -sin^2 x +cos^2 x

sin^4x-sin^2x+cos^2x=sin^2x*(sin^2x-1)+cos^2x=-sin^2x*cos^2x+cos^2x=cos^2x*(1-sin^2x)=cos^2x*cos^2x=

(1-(sin^4x-sin^2xcos^2x+cos^4x)/sin^2x +3sin^2x

sin^4x-sin^2xcos^2x+cos^4x=sin^4x+2sin^2xcos^2x+cos^4x-3sin^2xcos^2x=(sin^2x+cos^2x)^2-3sin^2xcos^2x