What is the integral from-5 to 5 of 5/(x^3) ?

The integral from-5 to 5 of 5/(x^3) is diverges

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-5 to 5 of 5/(x^3)

\int_{- 5}^{5} \frac{5}{x ^{3}} d x

diverges

Solution steps

\int_{- 5}^{5} \frac{5}{x ^{3}} d x

Find undefined (singularity) points:

x = 0

If exist

b, a < b < c, f (b) =

undefined

, \int_{a}^{c} f (x) d x = \int_{a}^{b} f (x) d x + \int_{b}^{c} f (x) d x

= \int_{- 5}^{0} \frac{5}{x ^{3}} d x + \int_{0}^{5} \frac{5}{x ^{3}} d x

\int_{- 5}^{0} \frac{5}{x ^{3}} d x =

diverges

If part of the expression diverges, then entire expression diverges

= diverges

\int_{\frac{π}{3}}^{\frac{π}{2}} (x + cos (x)) d x

\int_{2}^{5} 5 x d x

\int_{- 2}^{2} (10 x^{9} + 25 x^{21}) d x

\int_{0}^{4} 25 - x^{2} d x

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

What is the integral from-5 to 5 of 5/(x^3) ?
The integral from-5 to 5 of 5/(x^3) is diverges