Class 12 Integrals · Mcq Single Correct1 Marksintegration
Class 12 Maths · Integrals · Mcq Single Correct #16
Evaluate \(\int_{-1}^{1}(x^3+|x|+1)/(x^2+2|x|+1)\,dx\).
✅ Step-by-Step Solution
Final Answer: Option (B): 2ln2
- The x³ term divided by the even denominator is odd and integrates to 0. The remaining even part is 1/(|x|+1), whose integral is 2∫₀¹dx/(x+1)=2ln2.
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