Ex 7.11, 11 - Evaluate definite integral sin2 x dx - Definate Integration by properties - P7

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  1. Chapter 7 Class 12 Integrals
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Ex 7.11, 11 By using the properties of definite integrals, evaluate the integrals : _(( )/2)^( /2) sin^2 This is of form _( )^ ( ) ( )=sin^2 ( )=sin^2 ( )=( )^2=sin^2 ( )= ( ) _(( )/2)^( /2) sin^2 =2 _0^( /2) sin^2 =2 _0^( /2) [(1 cos 2 )/2] = _0^( /2) (1 cos 2 ) = [ sin 2 /2]_0^( /2) = /2 sin 2( /2)/2 0+sin 2(0) /2 = /2 sin /2+sin 0/2 = /2 0+0 = /2

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