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limit 1 2 {1/x-1/2x 2 } e 2x dx

Laughinglimit12 {1/x-1/2x2}e2x dx

Grade:12

2 Answers

rajan jha
49 Points
13 years ago
see the picture of the solution . like my answer? 1255_23993_Photo0334.jpg
vikas askiitian expert
509 Points
13 years ago

I = e2x(1/x -1/2x2 )dx       lim 1 to 2

 put  2x =t

differentiate wrt t

 dx = dt/2

now integral becomes

 I= et (2/t -2/t2 ) /2 dt              lim 2 to 4

 I= et (1/t -1/t2 )dt         lim 2 to 4         

  ex {f(x)  + f1(x)} dx = ex f(x)                 ( this is identity )

 so by using this  we get 

  I=(et /t )  lim 2 to 4   

  I= (e4 -2e2 )/4        ans

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