Value of x satisfying _ 0 ^ 2[x+14] x 2 d x= _ 0 ^ x [x+14] d x is, where [ ] and denotes…
Mathematics · JEE Main · NTA Exams — Integral Calculus
Value of x satisfying \(\int_{0}^{2[x+14]}\left\{\frac{x}{2}\right\} d x=\int_{0}^{\langle x\rangle}[x+14] d x\) is, where \([\cdot] \text { and }\{\cdot\}\) denotes the greatest integer function and fractional part function respectively.
- \([-14,13)\)
- \((0,1)\)
- \((-15,-14]\)
- none of these
Answer
(C) (-15,-14]
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