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F(x)=∫0到x cos(x^2-t)dt 求F(x)的导数
人气:215 ℃ 时间:2019-12-23 09:58:45
解答
cos(x^2-t)=cos(x^2)cost+sin(x^2)sint
F(x)=cos(x^2)sin(x)+sin(x^2)[1-cos(x)]=sin(x^2)-sin(x^2-x)
F'(X)=2xcos(x^2)-(2x-1)cos(x^2-x)
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