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COMEDK2016MathematicsIndefinite Integration

(x³+3 x²+3 x+1 ) (x+1)⁵ d x=

Options

  1. A⁻¹ x+c
  2. B(x+1)+c
  3. C1 5 (x+1)+c
  4. D- 1 (x+1) +c

Correct answer

D. - 1 (x+1) +c

Step-by-step solution

x³+3 x²+3 x+1 (x+1)⁵ d x aligned &= (x+1)³ (x+1)⁵ d x= d x (x+1)² &=- 1 x+1 +c aligned

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