JEE Math Practice Question
If $$\int\limits_0^x \, $$f(t) dt = x2 + $$\int\limits_x^1 \, $$ t2f(t) dt then f '$$\left( {{1 \over 2}} \right)$$ is -
- A.$${{18} \over {25}}$$
- B.$${{6} \over {25}}$$
- C.$${{24} \over {25}}$$
- D.$${{4} \over {5}}$$
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