What is the integral of-(4x+5)/(8x+10) ?

The integral of-(4x+5)/(8x+10) is -1/2 x+C

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integral of-(4x+5)/(8x+10)

\int - \frac{4 x + 5}{8 x + 10} d x

- \frac{1}{2} x + C

Solution steps

\int - \frac{4 x + 5}{8 x + 10} d x

Cancel

\frac{4 x + 5}{8 x + 10} : \frac{1}{2}

= \int - \frac{1}{2} d x

Integral of a constant:

\int a d x = a x

= (- \frac{1}{2}) x

Simplify

= - \frac{1}{2} x

Add a constant to the solution

= - \frac{1}{2} x + C

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What is the integral of-(4x+5)/(8x+10) ?
The integral of-(4x+5)/(8x+10) is -1/2 x+C