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Popular >

integral from-1 to 1 of ((27)/(x^4)-3)

Solution

\int_{- 1}^{1} (\frac{27}{x ^{4}} - 3) d x

Solution

diverges

Solution steps

\int_{- 1}^{1} \frac{27}{x ^{4}} - 3 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_{- 1}^{0} \frac{27}{x ^{4}} - 3 d x + \int_{0}^{1} \frac{27}{x ^{4}} - 3 d x

\int_{- 1}^{0} \frac{27}{x ^{4}} - 3 d x =

diverges

If part of the expression diverges, then entire expression diverges

= diverges

Popular Examples

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\int 5 x - 7 d x

y^{^{'}} = k y \cdot (100 - y)

tangent of f(x) 1/(2sqrt(x+1)),\at x=7 tangent of

f (x) \frac{1}{2 x + 1}, at x = 7

derivative of (e^x+e^{-x}/x)

\frac{d}{d x} (\frac{e ^{x} + e ^{- x}}{x})

integral of (8+3x)/(1+x^2)

\int \frac{8 + 3 x}{1 + x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of ((27)/(x^4)-3) ?
The integral from-1 to 1 of ((27)/(x^4)-3) is diverges