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 2 to 5 of 3^{2x}

解

\int_{2}^{5} 3^{2 x} d x

解

\frac{29484}{ln ( 3 )}

+1

十進法表記

26837.49335 \dots

解答ステップ

\int_{2}^{5} 3^{2 x} d x

簡素化

3^{2 x} : 9^{x}

= \int_{2}^{5} 9^{x} d x

\int a^{x} d x = \frac{a ^{x}}{ln a}

= [\frac{9 ^{x}}{ln ( 9 )}]_{2}^{5}

簡素化

ln (9) : 2 ln (3)

= [\frac{9 ^{x}}{2 ln ( 3 )}]_{2}^{5}

限度を計算する:

\frac{29484}{ln ( 3 )}

= \frac{29484}{ln ( 3 )}

グラフ

人気の例

integral from 2 to 3 of (4-x^2)

\int_{2}^{3} (4 - x^{2}) d x

integral from 1 to 2 of (x^2)/4

\int_{1}^{2} \frac{x ^{2}}{4} d x

integral from-3 to 4 of-x+1

\int_{- 3}^{4} - x + 1 d x

integral from y to 1 of 1/y

\int_{y}^{1} \frac{1}{y} d y

integral from 0 to 1 of 1/(9x^2+6x+1)

\int_{0}^{1} \frac{1}{9 x ^{2} + 6 x + 1} d x