The interval in which the function f(x)= _ 0 ^ x ( t t+z - 1 t ) dt will be…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
The interval in which the function
\(f(x)=\int_{0}^{x}\left(\frac{t}{t+z}-\frac{1}{t}\right)\)dt will be non-increasing is
- \((-2,-1] \cup(0,3]\)
- \((-2,-1] \cup[0,3]\)
- \((-2,-1] \cup[0,2]\)
- \((-2,-1] \cup(0,2]\)
Answer
(A) (-2,-1] (0,3]
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