Math miscellaneousHard
Question
Let 
F(x) = 
, x > 0. If 
dx = F(k) - F(1), then one of the possible values of k, is
F(x) = , x > 0. If dx = F(k) - F(1), then one of the possible values of k, isOptions
A.15
B.16
C.63
D.64
Solution
F′(x) = 
dx = F(k) - F(1)
dx = F(k) - F(1)
F′(x)dx = F(k) - F(1)
F(64) - F(1) = F(k) - F(1)
⇒ k = 64.
Hence, (D) is the correct answer.
dx = F(k) - F(1) dx = F(k) - F(1) F′(x)dx = F(k) - F(1) F(64) - F(1) = F(k) - F(1)
⇒ k = 64.
Hence, (D) is the correct answer.
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