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Integration Questions (1 Viewer)

FellowStudent

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A) Given that dr/dθ = 3/(1-r)^4 and r(0)=0, use the substitution u=1-r to find r in terms of θ.

B) The region bounded by the curves y=sin x, y=cos xand the x-axis between x=0 and x= π /2 is rotated about the x-axis.
i)Find the point of interesction of the two curves
ii) Calculate the exact value of the volume of the solid of revolution formed.

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