Let `f(x)` is a derivable function satisfying `xf(x) - int_0 ^xf(t)dt = x + ln ( sqrt(x^2 +1)

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Channel: Doubtnut · 2018 · Education

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To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW Let `f(x)` is a derivable function satisfying `xf(x) - int_0 ^xf(t)dt = x + ln ( sqrt(x^2 +1) - x) ` with `f(0) = ln2` Let ` g(x) = x f'(x)`, Then

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