求导数d\dx∫cosxsinxf(t2)dt

求导数d\dx∫cosxsinxf(t2)dt
求导数d\dx∫cosxsinxf(t2)dt

求导数d\dx∫cosxsinxf(t2)dt
∫cosxsinxf(t^2)dt
=cosxsinx∫f(t^2)dt
=1/2sin2x∫f(t^2)dt
d[1/2sin2x∫f(t^2)dt]dx
=cos2x∫f(t^2)dt+1/2sin2xf(t^2)