∫ - a a a - x a + x d x =

∫-aaa-xa+xdx=
  1. aπ2
  2. 1
  3. 2aπ
  4. aπ

Solution

I=∫-aaa-xa+xdx

f(x)⇒f(a+b-x)

I=∫-aaa+xa-xdx

⇒2I=∫-aa2aa2-x2dx

I=2a∫0adxa2-x2

=2asin-1xa0a

=2aπ2

Asked in: AP EAMCET 2020 (23 Sep Shift 1)

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