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COMEDK2012MathematicsDefinite Integration

₀^ / 2 2 t ⁴ t+ ⁴ t d t=

Options

  1. A3
  2. B4
  3. C2

Correct answer

3

Step-by-step solution

We have, aligned I &= ₀^ / 2 2 t ⁴ t+ ⁴ t d t &= ₀^ / 2 2 t t ⁴ t+ ⁴ t d t &= ₀^ / 2 2 t ² t ( ² t )²+1 d t aligned Put ² t=x aligned & (2 t ² t ) d t=d x & I= ₀^ 1 1+x² d x= [ ⁻¹ x ]₀^ = 2 aligned

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