ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある微分積分 >

integral from 12 to x of 1/t

解

\int_{12}^{x} \frac{1}{t} d t

解

ln ∣ x ∣ - ln (12)

解答ステップ

\int_{12}^{x} \frac{1}{t} d t

共通積分を使用する:

\int \frac{1}{t} d t = ln (∣ t ∣)

= [ln ∣ t ∣]_{12}^{x}

限度を計算する:

ln ∣ x ∣ - ln (12)

= ln ∣ x ∣ - ln (12)

人気の例

integral from 0 to 1 of 4x(x^2+2)^3

\int_{0}^{1} 4 x (x^{2} + 2)^{3} d x

integral from-1 to 0 of 6x^2(2x^3+4)^2

\int_{- 1}^{0} 6 x^{2} (2 x^{3} + 4)^{2} d x

integral from 3 to 4 of xln(x)

\int_{3}^{4} x ln (x) d x

integral from 5 to 10 of 6/25 x

\int_{5}^{10} \frac{6}{25} x d x

integral from 3 to 4 of sqrt(3/x)

\int_{3}^{4} \frac{3}{x} d x