What is the integral of-5/(sqrt(2))x^{-73} ?

The integral of-5/(sqrt(2))x^{-73} is 5/(72sqrt(2)x^{72)}+C

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integral of-5/(sqrt(2))x^{-73}

\int - \frac{5}{2} x^{- 73} d x

\frac{5}{72 2 x ^{72}} + C

Solution steps

\int - \frac{5}{2} x^{- 73} d x

Take the constant out:

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

= - \frac{5}{2} \cdot \int x^{- 73} d x

Apply the Power Rule

: - \frac{1}{72 x ^{72}}

= - \frac{5}{2} (- \frac{1}{72 x ^{72}})

Simplify

- \frac{5}{2} (- \frac{1}{72 x ^{72}}) : \frac{5}{72 2 x ^{72}}

= \frac{5}{72 2 x ^{72}}

Add a constant to the solution

= \frac{5}{72 2 x ^{72}} + C

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What is the integral of-5/(sqrt(2))x^{-73} ?
The integral of-5/(sqrt(2))x^{-73} is 5/(72sqrt(2)x^{72)}+C