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JEE Main20209 Jan 2020Morning ShiftMathematicsIndefinite IntegrationActual

The integral ∫ d x ( x + 4 ) 8 7 ( x - 3 ) 6 7 is equal to: (where C is a constant of integration)

Options

  1. Ax - 3 x + 4 1 7 + C
  2. Bx - 3 x + 4 - 1 7 + C
  3. C1 2 x - 3 x + 4 3 7 + C
  4. D- 1 13 x - 3 x + 4 - 13 7 + C

Correct answer

A. x - 3 x + 4 1 7 + C

Step-by-step solution

⇒ ∫ x - 3 x + 4 - 6 7 1 x + 4 2 d x       . . . i Let x - 3 x + 4 = t 7 , 7 x + 4 2 d x = 7 t 6 d t   . . .   ii From i from ii , ∫ t - 6 t 6 d t = t + C

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