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MHT CET202416 May 2024Evening ShiftMathematicsIndefinite IntegrationActual

^ -3 7 x ^ -11 7 x d x=

Options

  1. A-4 7 ^ -4 7 x+ c , where c is a constant of integration.
  2. B4 7 ^ 4 7 x+ c , where c is a constant of integration.
  3. C-7 4 ^ -4 7 x+ c , where c is a constant of integration.
  4. D7 4 ^ 4 7 x+ c , where c is a constant of integration.

Correct answer

C. -7 4 ^ -4 7 x+ c , where c is a constant of integration.

Step-by-step solution

aligned & ^ - 3 7 x ^ -11 7 x d x & = ^ - 11 7 x ^ 3 7 x 1 ⁻² x ^2 x ~d x & = ^ - 11 7 x ^ - 11 7 x ^2 x ~d x & = ^ - 11 7 x ^2 x ~d x & = ^ - 4 7 x - 4 7 + c aligned [ [ f (x)]^ n f ^ (x) d x= [ f (x)]^ n +1 n +1 + c ]=- 7 4 ^ - 4 7 x+c

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