What is the integral from 4 to 19 of (18)/(x^3) ?

The integral from 4 to 19 of (18)/(x^3) is 3105/5776

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 4 to 19 of (18)/(x^3)

\int_{4}^{19} \frac{18}{x ^{3}} d x

\frac{3105}{5776}

Decimal Notation

0.53756 \dots

Solution steps

\int_{4}^{19} \frac{18}{x ^{3}} d x

Take the constant out:

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

= 18 \cdot \int_{4}^{19} \frac{1}{x ^{3}} d x

Apply the Power Rule

: [- \frac{1}{2 x ^{2}}]_{4}^{19}

= 18 [- \frac{1}{2 x ^{2}}]_{4}^{19}

Compute the boundaries:

\frac{345}{11552}

= 18 \cdot \frac{345}{11552}

Simplify

= \frac{3105}{5776}

\int_{- π}^{x} sin (t) d t

\int_{0}^{1} 4 + x d x

\int_{- \frac{π}{2}}^{\frac{π}{2}} - sin (x) d x

\int_{0}^{1} (8 x + x) d x

\int_{3}^{x^{2}} ln (t) d t

What is the integral from 4 to 19 of (18)/(x^3) ?
The integral from 4 to 19 of (18)/(x^3) is 3105/5776