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 1 to t of 9/(x^3)

解

\int_{1}^{t} \frac{9}{x ^{3}} d x

解

9 (- \frac{1}{2 t ^{2}} + \frac{1}{2})

解答ステップ

\int_{1}^{t} \frac{9}{x ^{3}} d x

定数を除く:

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

= 9 \cdot \int_{1}^{t} \frac{1}{x ^{3}} d x

べき乗則を適用する

= 9 [- \frac{1}{2 x ^{2}}]_{1}^{t}

限度を計算する:

- \frac{1}{2 t ^{2}} + \frac{1}{2}

= 9 (- \frac{1}{2 t ^{2}} + \frac{1}{2})

人気の例

derivative of (5x/((x^2+1)^{3/5)})

\frac{d}{d x} (\frac{5 x}{( x ^{2} + 1 ) ^{\frac{3}{5}}})

(\partial)/(\partial x)(sin(4x+4y))

\frac{\partial}{\partial x} (sin (4 x + 4 y))

derivative of (1-x^2^5)

\frac{d}{d x} ((1 - x^{2})^{5})

derivative f(x)=csc(x^2)

d er i v a t i v e f (x) = csc (x^{2})

integral of (-y)/(1+y^2)

\int \frac{- y}{1 + y ^{2}} d y