d/dx(∫0~x sin(t –x)dt)

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d/dx(∫0~x sin(t –x)dt)
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d/dx(∫0~x sin(t –x)dt)
d/dx(∫0~x sin(t –x)dt)

d/dx(∫0~x sin(t –x)dt)

int(sin(t-x),t=0..x)=1-cosx
故d/dx(int(sin(t-x),t=0..x))=sinx