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f(x)= ∫sint/t dt 从1到x^3,求简化这个函数
其实原题是求这个函数的导数,非常困惑,
人气:467 ℃ 时间:2020-03-19 15:42:53
解答
f(x)=∫ sint/t dtf'(x)=d/dx ∫ sint/t dt=d/dx [Si(x³)-Si(1)],令u=x³,u'=3x²=sin(u)/u·(u)'-0=3x²·sin(u)/u=3x²·sin(x³)/x³=3sin(x³)/xSi(x)是正弦函数,Si(x)=∫(sin...
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