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

The integral from-infinity to-4 of 3/(x^4) is 1/64

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

\int_{- \infty}^{- 4} \frac{3}{x ^{4}} d x

\frac{1}{64}

Decimal

0.015625

Solution steps

\int_{- \infty}^{- 4} \frac{3}{x ^{4}} d x

Compute the indefinite integral:

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

Compute the boundaries:

\int_{- \infty}^{- 4} \frac{3}{x ^{4}} d x = \frac{1}{64} - 0

= \frac{1}{64} - 0

Simplify

= \frac{1}{64}

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l a pl a ce t r an s f or m (2 t - 1)^{3}

What is the integral from-infinity to-4 of 3/(x^4) ?
The integral from-infinity to-4 of 3/(x^4) is 1/64