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人気のある微分積分 >

integral from 0 to ln(6x) of sin(7e^t)

解

\int_{0}^{l n (6 x)} sin (7 e^{t}) d t

解

Si (42 x) - 1.45459 \dots

解答ステップ

\int_{0}^{l n (6 x)} sin (7 e^{t}) d t

u置換積分法を適用する

= \int_{7}^{42 x} \frac{sin ( u )}{u} d u

非初等積分を使用する:

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

= [Si (u)]_{7}^{42 x}

限度を計算する:

Si (42 x) - 1.45459 \dots

= Si (42 x) - 1.45459 \dots

人気の例

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