JEE Main & Advanced
Mathematics
Indefinite Integrals
Question Bank
Numerical Value Type Questions - Integrals
question_answer
If \[\int\limits_{0}^{x}{f(t)\,dt={{x}^{2}}+}\int\limits_{x}^{1}{{{t}^{2}}}f(t)\,dt,\] if \[f'(1/2)\] is \[\frac{24}{{{5}^{k}}},\]then the value of k is