Class 12 Integrals · Mcq Single Correct1 Marksintegration
Class 12 Maths · Integrals · Mcq Single Correct #17
If \(\int_0^1e^t/(1+t)dt=a\), find \(\int_0^1e^t/(1+t)^2dt\).
✅ Step-by-Step Solution
Final Answer: Option (B): a+1−e/2
- The derivative of e^t/(1+t) is e^t/(1+t)−e^t/(1+t)². Integrate: e/2−1=a−I, so I=a+1−e/2.
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