What is the integral from 3 to 6 of 2/(x^3) ?

The integral from 3 to 6 of 2/(x^3) is 1/12

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 3 to 6 of 2/(x^3)

\int_{3}^{6} \frac{2}{x ^{3}} d x

\frac{1}{12}

Decimal

0.08333 \dots

Solution steps

\int_{3}^{6} \frac{2}{x ^{3}} d x

Take the constant out:

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

= 2 \cdot \int_{3}^{6} \frac{1}{x ^{3}} d x

Apply the Power Rule

: [- \frac{1}{2 x ^{2}}]_{3}^{6}

= 2 [- \frac{1}{2 x ^{2}}]_{3}^{6}

Compute the boundaries:

\frac{1}{24}

= 2 \cdot \frac{1}{24}

Simplify

= \frac{1}{12}

\int_{0}^{1} ∣ x - 1 ∣ d x

\int_{1}^{4} (x^{2} - 5 x + 4) d x

\int_{0}^{l n (5)} e^{2 x - y} d x

\int_{0}^{30} 1 d x

\int_{1}^{3} ln (7 x) d x

What is the integral from 3 to 6 of 2/(x^3) ?
The integral from 3 to 6 of 2/(x^3) is 1/12