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+1 vote
63.5k views
in Mathematics by (30.0k points)

Let p(x) be a function defined on R such that p'(x) = p'(1 – x), for all x ∈ [0, 1], p(0) = 1 and p(1) = 41. Then 01 p(x) dx equals

(1) 21

(2) 41

(3) 42

(4) √41

1 Answer

+2 votes
by (55.2k points)
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Best answer

(1) 21 

p'(x) = p'(1 – x)

⇒ p(x) = -p(1 - x) + c

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