If ∫ x - 5 x - 7 d x = A x 2 - 12 x + 35 + log ⁡ x - 6 + x 2 - 12 x + 35 + C then A =

Question

If ∫ x - 5 x - 7 d x = A x 2 - 12 x + 35 + log ⁡ x - 6 + x 2 - 12 x + 35 + C then A =, - 1, 1 2, - 1 2, 1

MARKS App · Accepted Answer

∫ x - 5 x - 7 d x = ∫ x - 5 x 2 - 12 x + 35 d x = 1 2 ∫ 2 x - 10 x 2 - 12 x + 35 d x = 1 2 ∫ 2 x - 12 + 2 x 2 - 12 x + 35 d x = 1 2 ∫ 2 x - 12 x 2 - 12 x + 35 d x + ∫ d x x 2 - 12 x + 36 - 1 = 1 2 2 x 2 - 12 x + 35 + ∫ d x x - 6 2 - 1 + c 1 = x 2 - 12 x + 35 + log ⁡ x - 6 + x 2 - 12 x + 35 + c ⇒ A = 1

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