integral of 1/x*sin(x)

解答

\int \frac{1}{x} \cdot sin (x) d x

Si (x) + C

求解步骤

\int \frac{1}{x} sin (x) d x

化简

\frac{1}{x} sin (x) : \frac{sin ( x )}{x}

= \int \frac{sin ( x )}{x} d x

这是非初等函数积分:

\int \frac{sin ( x )}{x} d x = Si (x)

= Si (x)

解答补常数

= Si (x) + C

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