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 2^{2x}

解

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

解

\frac{504}{ln ( 2 )}

+1

十進法表記

727.11830 \dots

解答ステップ

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

簡素化

2^{2 x} : 4^{x}

= \int_{2}^{5} 4^{x} d x

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

= [\frac{4 ^{x}}{ln ( 4 )}]_{2}^{5}

\frac{4 ^{x}}{ln ( 4 )} = \frac{2 ^{2 x - 1}}{ln ( 2 )}

= [\frac{2 ^{2 x - 1}}{ln ( 2 )}]_{2}^{5}

限度を計算する:

\frac{504}{ln ( 2 )}

= \frac{504}{ln ( 2 )}

グラフ

人気の例

integral from 2 to 4 of (1-e)

\int_{2}^{4} (1 - e) d x

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

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

integral from 1 to 4 of 1/(2x(3-x))

\int_{1}^{4} \frac{1}{2 x ( 3 - x )} d x

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

\int_{0}^{2} x^{2} sin (x^{3}) d x

integral from 0 to ln(2) of tanh(x)

\int_{0}^{l n (2)} tanh (x) d x