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If f(x) = A sin(πx/2) + B, f'(1/2) = 2√2 and ∫f(x) dx for x ∈ [0,1] = 2A/π, then the constants A and B are

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If f(x) = A sin(πx/2) + B, f'(1/2) = 2√2 and ∫f(x) dx for x ∈ [0,1] = 2A/π, then the constants A and B are 

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Correct option is (d) 8/π & 32/π2

Explanation  :

Given 

Also,

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