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AP EAMCET202021 Sep 2020Evening ShiftMathematicsIndefinite IntegrationActual

( x²⁰²⁰ ( ⁻¹ x+ ⁻¹ x ) d x= )

Options

  1. A( x²⁰²¹ 2020 ( ⁻¹ x+ ⁻¹ x )+c )
  2. B( x²⁰²¹ 2021 ( ⁻¹ x+ ⁻¹ x )+c )
  3. C( x²⁰²¹ 2021 + 2 +C )
  4. D( x⁵² 52 + 2 +C )

Correct answer

B. ( x²⁰²¹ 2021 ( ⁻¹ x+ ⁻¹ x )+c )

Step-by-step solution

( aligned I & = x²⁰²⁰ ( ⁻¹ x+ ⁻¹ x ) d x & = x²⁰²⁰ ( 2 ) d x ⁻¹ x+ ⁻¹ x= 2 & = 2 x²⁰²¹ 2021 +C= x²⁰²¹ 2021 ( ⁻¹ x+ ⁻¹ x )+C aligned ) Hence, option (b) is correct.

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