If f(t)= array ll at -1 & t so that _ 0 ^ x f(x) d x is differentiable for all x 0 is
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
If \(f(t)=\left\{\begin{array}{ll}
\mathrm{at}-1 & \mathrm{t}<1 \\
\mathrm{t}^{2}+b & t \geq 1
\end{array}\right.\) then possible set of values of
so that \(\int_{0}^{x} f(x) d x\) is differentiable for all \(x \geq 0\) is
so that \(\int_{0}^{x} f(x) d x\) is differentiable for all \(x \geq 0\) is- \((5,1)\)
- \((1,3)\)
- \((4,2)\)
- none of these
Answer
(C) (4,2)
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