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人気のある微分積分 >

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

解

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

解

Si (x)

解答ステップ

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

非初等積分を使用する:

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

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

限度を計算する:

Si (x)

= Si (x)

人気の例

integral from 0 to pi/2 of sin(sin(x))

\int_{0}^{\frac{π}{2}} sin (sin (x)) d x

integral from 0 to 1 of 4/3 (1-x^3)

\int_{0}^{1} \frac{4}{3} (1 - x^{3}) d x

integral from 0 to 2pi of (sin(3x))^2

\int_{0}^{2 π} (sin (3 x))^{2} d x

integral from-7 to infinity of 1/(x+9)

\int_{- 7}^{\infty} \frac{1}{x + 9} d x

integral from infinity to x of 1/(x^2)

\int_{\infty}^{x} \frac{1}{x ^{2}} d x