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Derivative from an Integral Equation

Difficulty: Medium · Topics: Calculus, Integration, Fundamental Theorem of Calculus

Integral tenglamadan hosila

f(x)=frac1√x∫ (π)/(4)^x≤ft(4√2sin t-3f'(t) )dt

where x 0. Find f'≤ft((π)/(4) ).

f(x)=frac1√x∫ (π)/(4)^x≤ft(4√2sin t-3f'(t) )dt

bunda x 0. f'≤ft((π)/(4) ) ni toping.