QCEVault

Integration techniques — Question 204

Original QCE Vault practice · 5 marks

Q204 · Practice questionTechnology-freeComplex familiar5 marks

QUESTION 204 (5 marks)

Let f(x)=xln⁡xf(x)=x\ln x on 1≤x≤e1\le x\le e.
a)
Determine ∫1ef(x) dx\int_1^e f(x)\,dx exactly.
[3 marks]
b)
Determine the mean value of f on the interval.
[2 marks]
Question linkSyllabus coverage

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