What is the integral from x to infinity of 5/(x^5) ?

The integral from x to infinity of 5/(x^5) is 5/(4x^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from x to infinity of 5/(x^5)

\int_{x}^{\infty} \frac{5}{x ^{5}} d x

\frac{5}{4 x ^{4}}

Solution steps

\int_{x}^{\infty} \frac{5}{x ^{5}} d x

Compute the indefinite integral:

\int \frac{5}{x ^{5}} d x = - \frac{5}{4 x ^{4}} + C

Compute the boundaries:

\int_{x}^{\infty} \frac{5}{x ^{5}} d x = 0 - (- \frac{5}{4 x ^{4}})

= 0 - (- \frac{5}{4 x ^{4}})

Simplify

= \frac{5}{4 x ^{4}}

\int_{1.2}^{1.5} \frac{2}{3} - \frac{2}{9} x d x

\int_{0}^{2 π} 2 - \frac{t}{π} d t

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

\int_{1}^{2} \frac{4 ln ( x )}{x} d x

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

What is the integral from x to infinity of 5/(x^5) ?
The integral from x to infinity of 5/(x^5) is 5/(4x^4)