What is the integral from-2 to 3 of 9/(x^4) ?

The integral from-2 to 3 of 9/(x^4) is diverges

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integral from-2 to 3 of 9/(x^4)

\int_{- 2}^{3} \frac{9}{x ^{4}} d x

diverges

Solution steps

\int_{- 2}^{3} \frac{9}{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{9}{x ^{4}} d x + \int_{0}^{3} \frac{9}{x ^{4}} d x

\int_{- 2}^{0} \frac{9}{x ^{4}} d x =

diverges

If part of the expression diverges, then entire expression diverges

= diverges

4 cos (sin (2 x))

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

e^{- x^{5}}

\int (u + 3) (8 u + 5) d u

\int \frac{e ^{4 x}}{( e ^{2 x} - 1 ) ^{3}} d x

What is the integral from-2 to 3 of 9/(x^4) ?
The integral from-2 to 3 of 9/(x^4) is diverges