What is the integral from-2 to 3 of 8/(x^4) ?

The integral from-2 to 3 of 8/(x^4) is diverges

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integral from-2 to 3 of 8/(x^4)

\int_{- 2}^{3} \frac{8}{x ^{4}} d x

diverges

Solution steps

\int_{- 2}^{3} \frac{8}{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{8}{x ^{4}} d x + \int_{0}^{3} \frac{8}{x ^{4}} d x

\int_{- 2}^{0} \frac{8}{x ^{4}} d x =

diverges

If part of the expression diverges, then entire expression diverges

= diverges

\int \frac{400}{x ^{3} - 20 x ^{2}} d x

\int_{4}^{16} \frac{1}{1 - x} d x

f (x) = 4 x^{2} + 4 x, at x = - 2

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

\frac{d}{d x} (1 - (1 - \frac{x}{40})^{3})

What is the integral from-2 to 3 of 8/(x^4) ?
The integral from-2 to 3 of 8/(x^4) is diverges