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

\frac{( 2 v + 5 )}{( 7 v + 22 )}

\frac{x ^{2}}{( a ^{2} + x ^{2} ) ^{2}}

\frac{x ^{3}}{x - 2}

\frac{e ^{3}}{x}

\frac{x ^{0.5}}{( 1 + x ) ^{2}}

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