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COMEDK20269 May 2026Morning ShiftMathematicsDefinite IntegrationActual

_ - 2 ^ 2 ^5 x ^7 x dx =

Options

  1. A4
  2. B2
  3. C0

Correct answer

C. 0

Step-by-step solution

Let I = _ - 2 ^ 2 ^5 x ^7 x dx Let f(x) = ^5 x ^7 x f(-x) = ^5(-x) ^7(-x) f(-x) = (- x)^5 ( x)^7 f(-x) = - ^5 x ^7 x = -f(x) Since f(x) is an odd function, the integral over the symmetric interval [- 2 , 2 ] is 0 . I = 0 Answer: 0

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