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AP EAMCET202123 Aug 2021Morning ShiftMathematicsIndefinite IntegrationActual

x a + b x +x^a+b^x+a b d x is equal to

Options

  1. Ax^2 2 a + b x^2 + x^ a+1 a+1 + b^x b +C
  2. Bx^2 2 a +b |x|+ x^ a+1 a+1 + b^x b +a b x+C
  3. C1 a +b |x|+a x^ a-1 +b^x b+a b+C
  4. Dx^2 2 a +b |x|+ x^ a+1 a+1 + b^x a +a b x+C

Correct answer

B. x^2 2 a +b |x|+ x^ a+1 a+1 + b^x b +a b x+C

Step-by-step solution

aligned & ( x a +b x⁻¹+x^a+b^x+a b ) d x & = 1 a x^2 2 +b x+ x^ a+1 a+1 +b^x b+a b x+C aligned

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