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-5 to 0 of 2^{1-x}

解

\int_{- 5}^{0} 2^{1 - x} d x

解

\frac{62}{ln ( 2 )}

+1

十進法表記

89.44709 \dots

解答ステップ

\int_{- 5}^{0} 2^{1 - x} d x

u置換積分法を適用する

= \int_{6}^{1} - 2^{u} d u

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{1}^{6} - 2^{u} d u

定数を除く:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - (- \int_{1}^{6} 2^{u} d u)

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

= - (- [\frac{2 ^{u}}{ln ( 2 )}]_{1}^{6})

簡素化

= [\frac{2 ^{u}}{ln ( 2 )}]_{1}^{6}

限度を計算する:

\frac{62}{ln ( 2 )}

= \frac{62}{ln ( 2 )}

グラフ

人気の例

tangent y=(6x)/(x^2+1)

t an g e n t y = \frac{6 x}{x ^{2} + 1}

(\partial)/(\partial x)(xsin(2y))

\frac{\partial}{\partial x} (x sin (2 y))

derivative f(x)=(x^2+3)(x^2-4x)

d er i v a t i v e f (x) = (x^{2} + 3) (x^{2} - 4 x)

integral of (2x+6)e^{-4x}

\int (2 x + 6) e^{- 4 x} d x

derivative of 7(cos(x^2-2x^2sin(x^2)))

\frac{d}{d x} (7 (cos (x^{2}) - 2 x^{2} sin (x^{2})))