x-1 (x+1) x (x^ 2 +x+1 ) d x is

Mathematics · JEE Advanced · NTA Exams — Integral Calculus

1. \(\tan ^{-1}\left(\frac{x^{2}+x+1}{x}\right)+c\)
2. \(2 \tan ^{-1}\left(\frac{x^{2}+x+1}{x}\right)+c\)
3. \[\tan ^{-1}\left(\frac{\sqrt{x^{2}+x+1}}{x}\right)+c\]
4. \(2 \tan ^{-1} \sqrt{x+\frac{1}{x}+1}+c\)

Answer

(D) 2 ^ -1 x+ 1 x +1 +c

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