JEE Main 2025 Mathematics question
Let f be a real valued continuous function defined on the positive real axis such that . If , then value of is :
Answer: (4)
Solution
g(x) = x² + x^(7/3), g'(x) = 2x + (7/3)x^(4/3), f(x) = g'(x)/x = 2 + (7/3)x^(1/3). f(r³) = 2 + 7r/3. Sum = 310