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The value of the integral ∫ 0 1 4 t 3 1 + t 8 + 8 t 4 1 + t 7 d t is

Options

  1. A128
  2. B512
  3. C256
  4. D1024

Correct answer

C. 256

Step-by-step solution

Note that d d t t 4 1 + t 8 = 4 t 3 1 + t 8 + 8 t 4 1 + t 7 Hence, the required integral is t 4 1 + t 8 0 1 = 2 8

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