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AP EAMCET20226 Jul 2022Morning ShiftMathematicsDefinite IntegrationActual

₀^ ( ^2 ( 3 8 - x 4 )- ^2 ( 11 8 + x 4 ) ) d x=

Options

  1. A1 / 2
  2. B2 2
  3. C2
  4. D2

Correct answer

C. 2

Step-by-step solution

aligned & I= ₀^ ( ^2 ( 3 8 - x 4 )- ^2 ( 11 8 + x 4 ) ) d x & I= ₀^ ( ( 3 8 - x 4 )- ( 11 8 + x 4 ) ) & ( ( 3 8 - x 4 )+ ( 11 8 + x 4 ) ) d x & I= ₀^ (2 ( 14 8 2 ) (- - x 2 ) ) aligned gathered (-2 ( 14 8 2 ) (- - 2 ) ) d x I= ₀^ 2 ( 7 8 ) (- x 2 ) (=2 ( 14 8 ) ( x 2 ) ) d x I= ₀^ (2 7 8 7 8 ) (-2 x 2 x 2 ) d x I=- ₀^ 7 x 4 x d x I=- ( 4 ) ₀^ x d x I= 1 2 (- x) ₀^ =- 1 2 ( - 0) I=- 1 2 (-1-1)= -2 2 = 2 gathered

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