If f(x) d x=g(x)+C, then f^ -1 (x) d x is equal to
Mathematics · JEE Main · NTA Exams — Integral Calculus
If \(\int f(x) d x=g(x)+C, \text { then } \int f^{-1}(x) d x\) is equal to
- \(x f^{-1}(x)+c\)
- \(f\left[g^{-1}(x)\right]+c\)
- \(x f^{-1}(x)-g\left[f^{-1}(x)\right]+c\)
- \(g^{-1}(x)+c\)
Answer
(C) x f^ -1 (x)-g [f^ -1 (x) ]+c
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