积分 sinxcosx/(1+sin^2x)^5 dx

积分 sinxcosx/(1+sin^2x)^5 dx sinxcosx/1+(cosx)^2的积分 1/(sinxcosx)积分怎么算 积分 sin^4xcos^2x dx利用三角学解以下积分(如图)Hints:sin^4xcos^2x = sin^2x(sinxcosx)^2 sin^2xtanx+cos^2x/tanx+2sinxcosx-(1+cosx/sinxcosx)化简 sin^2xtanx+(cos^2x/tanx)+2sinxcosx-1+cos/sinxcosx 2sin^2x-sinxcosx-cos^2=1 2sin^2-sinxcosx-cos^2=1 f(x)=sin^2x+sinxcosx-1/2,化简 y=sin^2x-sinxcosx+1/2的值域 化简(sin^2x+2sinxcosx)/1+tanx 求证 1+2sinxcosx/sin^2x-cos^2x=sin^2x-cos^2x/1-2sinxcosx 证明1-2sinxcosx/cos^2x-sin^2x=cos^2x-sin^2/1+2sinxcosx 1-cos2x+sin2x= -2sin^x+2sinxcosx应该是等于 2sin^x+2sinxcosx吧? cosx—sinx/1+sinxcosx的积分 (sinxcosx)/(1+sinx^4)的积分 ∫(1/sinxcosx)dx 求定积分 cos^2+2sinxcosx+sin^2x