integral from 0 to x of (sin(t))/t

解答

\int_{0}^{x} \frac{sin ( t )}{t} d t

Si (x)

求解步骤

\int_{0}^{x} \frac{sin ( t )}{t} d t

这是非初等函数积分:

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

= [Si (t)]_{0}^{x}

带入上下限计算后得:

Si (x)

= Si (x)

\frac{d}{d x} (\frac{1}{x + 5})

d er i v a t i v e f (x) = 3 x^{4} - 12 x^{3} + 9

d er i v a t i v e 5 arcsin (x^{3})

\int 6 csc^{4} (θ) d θ

\int \frac{1}{3 - 5 sin ( x )} d x