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

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

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

diverges

Solution steps

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

\int_{- 2}^{0} \frac{3}{4 x ^{2}} d x =

diverges

If part of the expression diverges, then entire expression diverges

= diverges

\int_{0}^{2 π} x cos (n x) d x

\int_{0}^{2} x^{3} + 4 x d x

\int_{4}^{6} (x^{2} + 2 x - 3) d x

\int_{0}^{\frac{1}{5}} y arctan (5 y) d y

\int_{1}^{2} a x^{3} + \frac{6}{x ^{2}} d x

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