What is the integral from 1 to infinity of 5/(x^6) ?

The integral from 1 to infinity of 5/(x^6) is 1

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integral from 1 to infinity of 5/(x^6)

\int_{1}^{\infty} \frac{5}{x ^{6}} d x

1

Solution steps

\int_{1}^{\infty} \frac{5}{x ^{6}} d x

Compute the indefinite integral:

\int \frac{5}{x ^{6}} d x = - \frac{1}{x ^{5}} + C

Compute the boundaries:

\int_{1}^{\infty} \frac{5}{x ^{6}} d x = 0 - (- 1)

= 0 - (- 1)

Simplify

= 1

\int_{0}^{1} e^{x - 1} d x

\int_{0}^{\frac{1}{2}} \frac{1}{1 + x ^{4}} d x

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

\int_{- π}^{π} t d t

\int_{4}^{x^{2}} e^{- t} d t

What is the integral from 1 to infinity of 5/(x^6) ?
The integral from 1 to infinity of 5/(x^6) is 1