What is the integral from 1 to 2 of 3x^{-2} ?

The integral from 1 to 2 of 3x^{-2} is 3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 2 of 3x^{-2}

\int_{1}^{2} 3 x^{- 2} d x

\frac{3}{2}

Decimal Notation

1.5

Solution steps

\int_{1}^{2} 3 x^{- 2} d x

Take the constant out:

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

= 3 \cdot \int_{1}^{2} x^{- 2} d x

Apply the Power Rule

: [- \frac{1}{x}]_{1}^{2}

= 3 [- \frac{1}{x}]_{1}^{2}

Compute the boundaries:

\frac{1}{2}

= 3 \cdot \frac{1}{2}

Simplify

= \frac{3}{2}

x \to 0 - lim (ln ∣ x ∣)

\frac{d y}{d x} + 11 y = 4

\int \frac{1}{5 - 2 x ^{2}} d x

\int x^{2} e^{9 x} d x

\frac{d}{d x} (x^{4} + 8)

What is the integral from 1 to 2 of 3x^{-2} ?
The integral from 1 to 2 of 3x^{-2} is 3/2