What is the integral of ((x^{24}))/((x^{25))} ?

The integral of ((x^{24}))/((x^{25))} is ln|x|+C

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integral of ((x^{24}))/((x^{25))}

integral

\frac{( x ^{24} )}{( x ^{25} )}

ln ∣ x ∣ + C

Solution steps

\int \frac{x ^{24}}{x ^{25}} d x

Simplify

\frac{x ^{24}}{x ^{25}} : \frac{1}{x}

= \int \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= ln ∣ x ∣

Add a constant to the solution

= ln ∣ x ∣ + C

What is the integral of ((x^{24}))/((x^{25))} ?
The integral of ((x^{24}))/((x^{25))} is ln|x|+C