$\int \frac{\sqrt{u}}{\sqrt{u}+5} d u=u+10 \sqrt{u}-50 \ln (\sqrt{u}+5)+C$ .

Name: $\int \frac{\sqrt{u}}{\sqrt{u}+5} d u=u+10 \sqrt{u}-50 \ln (\sqrt{u}+5)+C$ .
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Question

Quizplus · Accepted Answer

The given integral, when solved correctly, does not yield $u+10 \sqrt{u}-50 \ln (\sqrt{u}+5)+C$ as its solution. The mistake likely arises from incorrect application of integration techniques or algebraic manipulation.

∫uu+5du=u+10u−50ln⁡(u+5)+C\int \frac{\sqrt{u}}{\sqrt{u}+5} d u=u+10 \sqrt{u}-50 \ln (\sqrt{u}+5)+C∫u​+5u​​du=u+10u​−50ln(u​+5)+C

$\int \frac{\sqrt{u}}{\sqrt{u}+5} d u=u+10 \sqrt{u}-50 \ln (\sqrt{u}+5)+C$