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MHT CET20227 Aug 2022Evening ShiftMathematicsIndefinite IntegrationActual

(x-a) (x^ n-1 +x^ n-2 a+ . .+a^ n-1 ) d x= (where C is a constant of integration)

Options

  1. Ax^ n+1 n+1 -a^n x+C
  2. Bx^n-a^n+C
  3. Cx^ n+1 n+1 -a^n+C
  4. Dn a^ n-1 +C

Correct answer

A. x^ n+1 n+1 -a^n x+C

Step-by-step solution

aligned & (x-a) (x^ n-1 +x^ n-2 a+ +a^ n-1 ) d x & = (x^n-a^n ) d x & = x^ n+1 n+1 -a^n x+c aligned

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