Class 12 Integrals · Mcq Single Correct1 Markssubstitution
Class 12 Maths · Integrals · Mcq Single Correct #122
Evaluate \(\int x/(\sqrt{x}+1)dx\) for x>0.
✅ Step-by-Step Solution
Final Answer: Option (A): 2[x√x/3−x/2+√x−ln(√x+1)]+C
- Set u=√x, dx=2u du. Then 2u³/(u+1)=2[u²−u+1−1/(u+1)]. Integrating gives option a.
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