Question:medium
\(\int \frac{10e^x}{(2e^x + 5)^3} dx\) is equal to
\(\int \frac{10e^x}{(2e^x + 5)^3} dx\) is equal to
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If the derivative of the base is present in the numerator, the result will always be of the form \(\frac{1}{\text{base}^{n-1}}\) with a negative sign.
Updated On: Jun 25, 2026
- \(\frac{5}{2(2e^x + 5)^2} + C\)
- \(\frac{-5}{(2e^x + 5)^2} + C\)
- \(\frac{-10}{(2e^x + 5)^2} + C\)
- \(\frac{-5}{2(2e^x + 5)^2} + C\)
- \(\frac{5}{(2e^x + 5)^2} + C\)
Show Solution
The Correct Option is D
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