解:sinx=x-(x^3/3!)+(x^5/圆模卜橘穗5!)-(x^7/7!)+(x^9/9!)-...
令F'(x)=sinx/x=1-(x^2/3!)+(x^4/5!)-(x^6/7!)+(x^8/9!)-...
则F(x)=x-(x^3/3!3)+(x^5/5!5)-(x^7/7!7)+(x^9/9!9)-...
实际取项应达码漏所需精度显然F(x)不是初等函数
∫桥睁 ( sinx - xsinx) dx
=-cosx - ∫ xsinx dx
=-cosx + ∫ x dcosx
=-cosx + xcosx - ∫游帆 cosx dx
=-cosx + xcosx - sinx +C
sin x-x*sin x的原函数是神消雹 :-cosx + xcosx - sinx +C
如巧凯卜吵图孝弊唤
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