If f^ (x)=x- 1 x^ 2 and f(1)= 1 2 . Find f(x)
Mathematics · JEE Main · NTA Exams — Integral Calculus
If \(f^{\prime}(x)=x-\frac{1}{x^{2}} \text { and } f(1)=\frac{1}{2}\). Find \(f(x)\)
- \(\frac{x^{2}}{2}-\frac{1}{x}-1\)
- \(\frac{x^{2}}{2}+\frac{1}{x}-1\)
- \(-\frac{x^{2}}{2}+\frac{1}{x}-1\)
- None of these
Answer
(A) x^ 2 2 - 1 x -1
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