What is the integral of-(29)/(x^{30)} ?

The integral of-(29)/(x^{30)} is 1/(x^{29)}+C

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integral of-(29)/(x^{30)}

\int - \frac{29}{x ^{30}} d x

\frac{1}{x ^{29}} + C

Solution steps

\int - \frac{29}{x ^{30}} d x

Take the constant out:

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

= - 29 \cdot \int \frac{1}{x ^{30}} d x

Apply the Power Rule

: - \frac{1}{29 x ^{29}}

= - 29 (- \frac{1}{29 x ^{29}})

Simplify

- 29 (- \frac{1}{29 x ^{29}}) : \frac{1}{x ^{29}}

= \frac{1}{x ^{29}}

Add a constant to the solution

= \frac{1}{x ^{29}} + C

e^{- t} cos (t)

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What is the integral of-(29)/(x^{30)} ?
The integral of-(29)/(x^{30)} is 1/(x^{29)}+C