allery$\displaystyle\int_1^e \ln x\, dx = ?$
A$0$
B$1$
C$e - 1$
D$e$
Answer & Solution
Correct answer: B. $1$
IBP: $[x\ln x - x]_1^e = (e - e) - (0 - 1) = 0 + 1 = 1$.
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