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AP EAMCET202123 Aug 2021Evening ShiftMathematicsIndefinite IntegrationActual

(1- x) cosec ^2 x d x is equal to

Options

  1. A( x 2 )+c
  2. B- ( x 2 )+c
  3. C2 ( x 2 )+c
  4. D-2 ( x 2 )+c

Correct answer

A. ( x 2 )+c

Step-by-step solution

Let I= (1- x) cosec ^2 x d xI= cosec ^2 x d x- x cosec ^2 x d x aligned & =- x- x cosec x d x & =- x+ cosec x+C aligned = 1- x x +C [ 1- x=2 ^2 x 2 ]= 2 ^2 x / 2 2 x / 2 x / 2 +CI= ( x 2 )+C

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