Find the value of `a(0 lt a lt 1)` for which the following definite integral is minimized. `int_(0)^(pi) |sinx-ax| dx`

Find the value of `a(0 lt a lt 1)` for which the following definite integral is minimized.
`int_(0)^(pi) |sinx-ax| dx`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

Salim Ahmed Kawsar

Correct Answer - `a = (sqrt(2))/(pi) sin ((pi)/(sqrt(2)))`

4 views Answered 2023-02-05 15:29

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