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Integrals

Question
CBSEENMA12036240

The value of integral subscript negative straight pi end subscript superscript straight pi space fraction numerator cos squared space straight x over denominator 1 plus space straight a to the power of straight x end fraction space dx comma space straight a greater than 0 space is

  • a π

  • π/2

  • π/a

Solution

B.

π/2

integral subscript negative straight pi end subscript superscript straight pi space fraction numerator cos squared over denominator 1 plus straight a to the power of straight x end fraction space dx space equals space integral subscript 0 superscript straight pi space cos squared space straight x space dx space equals space straight pi over 2

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