Class 12 Integrals · Mcq Single Correct1 Marksintegration
Class 12 Maths · Integrals · Mcq Single Correct #12
For x≠0, evaluate \(\int x^9/(4x^2+1)^6\,dx\).
✅ Step-by-Step Solution
Final Answer: Option (D): \(\frac1{10}(x^{-2}+4)^{-5}+C\)
- Differentiate x¹⁰/[10(4x²+1)⁵] by the product rule to obtain x⁹/(4x²+1)⁶. This equals option d when x≠0; the rational expression extends smoothly to 0.
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