What is the integral from-2 to 3 of (31)/(x^4) ?

The integral from-2 to 3 of (31)/(x^4) is diverges

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integral from-2 to 3 of (31)/(x^4)

\int_{- 2}^{3} \frac{31}{x ^{4}} d x

diverges

Solution steps

\int_{- 2}^{3} \frac{31}{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{31}{x ^{4}} d x + \int_{0}^{3} \frac{31}{x ^{4}} d x

\int_{- 2}^{0} \frac{31}{x ^{4}} d x =

diverges

If part of the expression diverges, then entire expression diverges

= diverges

\frac{d}{d x} (10)

2 e^{3 x} \frac{d y}{d x} = - \frac{6 x}{y ^{2}}

4 x, 4, \frac{4}{x}, 0

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

\frac{d}{d x} (4 x^{2} + x y + 2 y^{2})

What is the integral from-2 to 3 of (31)/(x^4) ?
The integral from-2 to 3 of (31)/(x^4) is diverges