What is the integral from-2 to 3 of (25)/(x^4) ?

The integral from-2 to 3 of (25)/(x^4) is diverges

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integral from-2 to 3 of (25)/(x^4)

\int_{- 2}^{3} \frac{25}{x ^{4}} d x

diverges

Solution steps

\int_{- 2}^{3} \frac{25}{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{25}{x ^{4}} d x + \int_{0}^{3} \frac{25}{x ^{4}} d x

\int_{- 2}^{0} \frac{25}{x ^{4}} d x =

diverges

If part of the expression diverges, then entire expression diverges

= diverges

\int_{0}^{\infty} sin (4 x) d x

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\frac{d ^{2}}{d x ^{2}} ((3 x^{2} + 6 x) sin (x))

\frac{d}{d x} (cos (2 x - 1) tan (1 - 2 x))

What is the integral from-2 to 3 of (25)/(x^4) ?
The integral from-2 to 3 of (25)/(x^4) is diverges