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If ∫ + 2 2 ) 10 x 2 – x ( dx = A ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + + ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 10 x 2 – x ) x ( f 3 1 – x tan 2 1 – + C where C is a constant of integration then :

1. A = 54 1 and f(x) = 9(x–1) 2
2. A = 54 1 and f(x) = 3(x–1)
3. A = 81 1 and f(x) = 3(x–1)
4. A = 27 1 and f(x) = 9(x–1)

Correct answer: A = 54 1 and f(x) = 3(x–1)

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