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

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

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

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

diverges

Solution steps

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

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

diverges

If part of the expression diverges, then entire expression diverges

= diverges

\frac{d}{d x} (∣ x - 2 ∣)

e^{(\frac{3}{x})}

\frac{d}{d x} ((x^{5} - 7)^{2})

\int \frac{sin ( ln ( x ) )}{x} d x

\int \frac{x ^{2}}{( x ^{2} + 25 ) ^{\frac{3}{2}}} d x

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