<\/div><\/div><\/div><\/figure> 8. Evaluate the following expressions given that: f(1) = 1, g(1) = -1, g(2) = g'(2) = V3, f'(1) = 2, g'(1) = -3, (a) d If(x) ]2 ( b ) g(x)g'(x) dx g(22) ] dx Ix=1 V1 + [g(2)12 (c) h' (1) , where h(x) = f (739 (25(x))). 9. Evaluate the following integrals: (a) ( e\" ( 1 - e-z ) 2 da ( b ) 20 2+ 20+ 1 202 + 4 - dx ( c ) \/ 4x sec x2 tan x2 dx (d) 23 - 1 dx Va+1 (e) Va (Inx) da (g) ( ac + 1 ) 2 dx 10. Evaluate the following definite integrals: TT \/3 (a) |22 - 4x + 3 dx (b) \/ xtan x dx 0 VIT (c) x cos(a2) dx (d) In(1 + x2) da 0 0",
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