QCEVault

Integration techniques — Question 203

Original QCE Vault practice · 5 marks

Q203 · Practice questionTechnology-freeComplex familiar5 marks

QUESTION 203 (5 marks)

A curved bookmark occupies the region below y=x/(x2+4)y=x/(x^2+4) and above the x-axis for 0≤x≤20\le x\le2.
Hatched region beneath y=x/(x squared+4) from 0 to 2; the divider is not shown.
a)
Determine the exact area.
[2 marks]
b)
A vertical line x=c divides the area in half. Determine c exactly.
[3 marks]
Question linkSyllabus coverage

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