Solutions Calculus

Suppose that f is continuous and that ∫_1^3{f(x)dx}=1. Find ∫_0^1{xf(2x^2+1)dx}

Question: Let R be the region bounded by the curves \(y={{x}^{3}}\), \(y=2x-{{x}^{2}}\)

(a) Calculate the area of \(R\)

(b) Calculate the volume of the solid generated by rotating R about the x-axis

(c) Calculate the volume of the solid generated by rotating R. about the y-axis

(d) Set up, but DO NOT EVALUATE, an integral for the volume of the solid

generated by rotating R about the line x = 1

Price: $2.99
Answer: The solution consists of 2 pages
Deliverables: Word Document


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