Ex 7.9, 15 - Direct Integrate x ex2 dx from 0 to 1 - Ex 7.9

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Ex7.9, 15 _0^1 ^ ^2 Step 1 :- Let F( )= 1 ^( ^2 ) Let ^2= Differentiating w.r.t. / ( ^2 )= / 2 = / = /2 Therefore, 1 ^( ^2 ) = 1 ^ /2 =1/2 1 ^ =1/2 ^ Putting = ^2 =1/2 ^( ^2 ) Hence F( )=1/2 ^( ^2 ) Step 2 :- _0^1 ^ = (1) (0) =1/2 ^(1^2 ) 1/2 ^(0^2 ) =1/2 ^1 1/2 ^0 =1/2 ( 1)

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.