What is the integral from 0 to 1 of 5/(x^5) ?

The integral from 0 to 1 of 5/(x^5) is diverges

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integral from 0 to 1 of 5/(x^5)

\int_{0}^{1} \frac{5}{x ^{5}} d x

diverges

Solution steps

\int_{0}^{1} \frac{5}{x ^{5}} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int_{0}^{1} \frac{1}{x ^{5}} d x

Apply the Power Rule

: [- \frac{1}{4 x ^{4}}]_{0}^{1}

= 5 [- \frac{1}{4 x ^{4}}]_{0}^{1}

Compute the boundaries:

diverges

= diverges

\frac{d}{d x} (\frac{24}{x ^{2} + 12})

x \to 1 lim (e^{x} - 1)

\frac{d y}{d t} = \frac{y}{2} + 4 e^{\frac{t}{2}}

y^{^{''''}} - y^{^{''}} + y = 0

2 y^{^{''}} - 7 y^{^{'}} - 15 y = 0, y (0) = 2, y^{^{'}} (0) = 1

What is the integral from 0 to 1 of 5/(x^5) ?
The integral from 0 to 1 of 5/(x^5) is diverges