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Black Book Advanced Problems in MathematicsMathematicsIndefinite and Definite Integration

If I_n = ( x)^n dx; n N , then 5I₄ - 6I₆ is equal to:

Options

  1. Ax ( x)^5 + C
  2. B2x 2x + C
  3. C2x 8 [1 + ^2 2x - 2 2x] + C
  4. D2x 8 [1 + ^2 2x + 2 2x] + C

Correct answer

C. 2x 8 [1 + ^2 2x - 2 2x] + C

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