QCEVault

Integration techniques — Question 216

Original QCE Vault practice · 5 marks

Q216 · Practice questionTechnology-freeComplex unfamiliar5 marks

QUESTION 216 (5 marks)

A vertical line x=c halves the area under y=1/(1+x2)y=1/(1+x^2) on 0≤x≤20\le x\le2.
a)
Express c using an inverse trigonometric function.
[2 marks]
b)
Show that c=(5−1)/2c=(\sqrt5-1)/2.
[3 marks]
Question linkSyllabus coverage

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