What is the integral from-1 to 2 of 3/(x^2) ?

The integral from-1 to 2 of 3/(x^2) is diverges

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integral from-1 to 2 of 3/(x^2)

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

diverges

Solution steps

\int_{- 1}^{2} \frac{3}{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_{- 1}^{0} \frac{3}{x ^{2}} d x + \int_{0}^{2} \frac{3}{x ^{2}} d x

\int_{- 1}^{0} \frac{3}{x ^{2}} d x =

diverges

If part of the expression diverges, then entire expression diverges

= diverges

n = 0 \sum \infty 5^{n}

(arctan (y))^{^{'}}

\int 27 x^{2} + C d x

\int_{0}^{\infty} 3 sin^{2} (x) d x

What is the integral from-1 to 2 of 3/(x^2) ?
The integral from-1 to 2 of 3/(x^2) is diverges