你的答案为
(1/2)sin^2-(1/4)sin^4
=(1/4)*sin^2*(2-sin^2)
=(1/4)sin^2+(1/4)sin^2cos^2
=(1/4)sin^2+(1/4)cos^2-(1/4)cos^4
(1/4)-(1/4)cos^4
因为C代表任意数,所以(1/4)可以归并入C,所以你的答案和书上的是等价的.
此题可以这么做
-∫cos^3dcos=-(1/4)cos^4+C
你的答案为
(1/2)sin^2-(1/4)sin^4
=(1/4)*sin^2*(2-sin^2)
=(1/4)sin^2+(1/4)sin^2cos^2
=(1/4)sin^2+(1/4)cos^2-(1/4)cos^4
(1/4)-(1/4)cos^4
因为C代表任意数,所以(1/4)可以归并入C,所以你的答案和书上的是等价的.
此题可以这么做
-∫cos^3dcos=-(1/4)cos^4+C