Unformatted text preview: converges or diverges. Compute the values of the convergent integrals. (a) Z ∞ arctan x 1 + x 2 dx (b) Z 1 ln x √ x dx 5. (12 marks) (a) Find the arc length of the curve y = √ x ( x-1 3 ) for x between 1 and 4. (b) Use integration to derive the formula for the surface area of a sphere of radius r ....
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- Fall '07
- Integration By Parts, dx, following improper integrals, tan x dx