What is the integral from-2 to 3 of (36)/(x^4) ?

The integral from-2 to 3 of (36)/(x^4) is diverges

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-2 to 3 of (36)/(x^4)

\int_{- 2}^{3} \frac{36}{x ^{4}} d x

diverges

Solution steps

\int_{- 2}^{3} \frac{36}{x ^{4}} 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_{- 2}^{0} \frac{36}{x ^{4}} d x + \int_{0}^{3} \frac{36}{x ^{4}} d x

\int_{- 2}^{0} \frac{36}{x ^{4}} d x =

diverges

If part of the expression diverges, then entire expression diverges

= diverges

\int 2 ln (2 x + 1) d x

7 (x^{2} + y^{2}) d x + 2 x y d y = 0

\int e^{- 4 x} cos (3 x) d x

\frac{d}{d x} (- ln (x) + x^{2})

What is the integral from-2 to 3 of (36)/(x^4) ?
The integral from-2 to 3 of (36)/(x^4) is diverges