What is the integral from 2 to infinity of 1/(x^4) ?

The integral from 2 to infinity of 1/(x^4) is 1/24

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integral from 2 to infinity of 1/(x^4)

\int_{2}^{\infty} \frac{1}{x ^{4}} d x

\frac{1}{24}

Decimal Notation

0.04166 \dots

Solution steps

\int_{2}^{\infty} \frac{1}{x ^{4}} d x

Compute the indefinite integral:

\int \frac{1}{x ^{4}} d x = - \frac{1}{3 x ^{3}} + C

Compute the boundaries:

\int_{2}^{\infty} \frac{1}{x ^{4}} d x = 0 - (- \frac{1}{24})

= 0 - (- \frac{1}{24})

Simplify

= \frac{1}{24}

f (x) = x^{2} - 7 x + 12, at x = 2

y = 4 - 4 + x

\frac{d}{d r ( t )} (\frac{s - r ( t )}{t})

\frac{\partial}{\partial x} (e - 4 t cos (π x))

\int - cos (x) sin^{2} (x) d x

What is the integral from 2 to infinity of 1/(x^4) ?
The integral from 2 to infinity of 1/(x^4) is 1/24