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Black Book Advanced Problems in MathematicsMathematicsIndefinite and Definite Integration

If the value of the definite integral _ -1 ^1 ⁻¹ ( 1 1 - x^2 ) ( ⁻¹ x 1 - x^2 ) |x| dx = ^2( a - b ) c where a, b, c N in their lowest form, then find the value of (a + b + c) .

Correct answer

7

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