What is the integral from-2 to 3 of (30)/(x^4) ?

The integral from-2 to 3 of (30)/(x^4) is diverges

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integral from-2 to 3 of (30)/(x^4)

\int_{- 2}^{3} \frac{30}{x ^{4}} d x

diverges

Solution steps

\int_{- 2}^{3} \frac{30}{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{30}{x ^{4}} d x + \int_{0}^{3} \frac{30}{x ^{4}} d x

\int_{- 2}^{0} \frac{30}{x ^{4}} d x =

diverges

If part of the expression diverges, then entire expression diverges

= diverges

\int - \frac{y}{z ^{2}} d z

\int \frac{1}{- x ^{2} - 18 x} d x

\int \frac{10}{( t ^{2} + 1 ) ^{\frac{3}{2}}} d t

\int \frac{1}{( x - 5 ) ^{2}} d x

x \to 3 lim (\frac{x - 5}{∣ x - 5 ∣})

What is the integral from-2 to 3 of (30)/(x^4) ?
The integral from-2 to 3 of (30)/(x^4) is diverges