Correct answer: C. ( 5 2 ) ( aligned I & = _ -1 ^2|x| d x= _ -1 ^0(-x) d x+ ₀^2(x) d x & = [ -x^2 2 ]_ -1 ^0+ [ x^2 2 ]₀^2= (0+ 1 2 )+ ( 4 2 -0 )= 5 2 aligned )

AP EAMCET202018 Sep 2020Morning ShiftMathematicsDefinite IntegrationActual

( _ -1 ^2|x| d x= )

Options

A1
B2
C( 5 2 )
D( 3 2 )

Correct answer

C. ( 5 2 )

Step-by-step solution

( aligned I & = _ -1 ^2|x| d x= _ -1 ^0(-x) d x+ ₀^2(x) d x & = [ -x^2 2 ]_ -1 ^0+ [ x^2 2 ]₀^2= (0+ 1 2 )+ ( 4 2 -0 )= 5 2 aligned )

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