What is the value of ∫[ 5 to 12] dx/x ?
Possible answers:
a) Ln(12)
b) Ln(12/5)
c) Ln(10/7)+C
d) Ln(12)−Ln(5)+C
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Possible answers:
a) Ln(12)
b) Ln(12/5)
c) Ln(10/7)+C
d) Ln(12)−Ln(5)+C
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Answers & Comments
b
int(dx / x) = ln(x) + C
From x = 5 to x = 12
ln(12) + C - ln(5) - C =>
ln(12) - ln(5) =>
ln(12/5)
∫ dx/x = ln(x)
∫[ 5 to 12] dx/x = ln(12)-ln(5) + C