If _ 0 ^ x f(t) d t=x+ _ x ^ 1 t f(t) d t then the value of f (1) is
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
If \(\int_{0}^{x} f(t) d t=x+\int_{x}^{1} t f(t) d t\) then the value of f (1) is
- 1/2
- 0
- 1
- –1/2
Answer
(D) –1/2
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