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C 5 4 r s 0 } 5 { w x x { w y r ' r } 13 { { x r w s r { 4 ;> C G I @ 2 C I ?In f(g(x)) wwwmathcentreacuk 6 c mathcentre 09 Further, we note that if g(x) = 1x2 then g ′(x) = 2x So the integral Z 2x √ 1x2 dx is of the form Z f(g(x))g′(x)dx To perform the integration we used the substitution u = 1 x2 In the general case it will be appropriate to try substituting u = g(x) Then du = du dx dx = g′(x)dx Once the substitution was made the resulting Pinyin Wikipedia 5ŒŽ ƒCƒ‰ƒXƒg ‚©‚í‚¢‚¢ Žè'‚«
