AP EAMCET · Maths · Indefinite Integration
\(\int \frac{x^5 d x}{\left(x^2+x+1\right)\left(x^6+1\right)\left(x^4-x^3+x-1\right)}=\)
- A \(\log _6\left|\frac{x^6-1}{x^6+1}\right|+c\)
- B \(\frac{1}{12} \log _e\left|\frac{x^6-1}{x^6+1}\right|+c\)
- C \(\frac{1}{12} \log _e\left|\frac{x^4+1}{x^4-1}\right|+c\)
- D \(\log _e\left|\frac{x^8+4}{x^6-1}\right|+c\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{12} \log _e\left|\frac{x^6-1}{x^6+1}\right|+c\)
Step-by-step Solution
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