What is the integral of-sqrt(13)x^{-37} ?

The integral of-sqrt(13)x^{-37} is (sqrt(13))/(36x^{36)}+C

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integral of-sqrt(13)x^{-37}

\int - 13 x^{- 37} d x

\frac{13}{36 x ^{36}} + C

Solution steps

\int - 13 x^{- 37} d x

Take the constant out:

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

= - 13 \cdot \int x^{- 37} d x

Apply the Power Rule

: - \frac{1}{36 x ^{36}}

= - 13 (- \frac{1}{36 x ^{36}})

Simplify

- 13 (- \frac{1}{36 x ^{36}}) : \frac{13}{36 x ^{36}}

= \frac{13}{36 x ^{36}}

Add a constant to the solution

= \frac{13}{36 x ^{36}} + C

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What is the integral of-sqrt(13)x^{-37} ?
The integral of-sqrt(13)x^{-37} is (sqrt(13))/(36x^{36)}+C