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Shinoy Philip Grade: 12
        

Laughinglimit12 {1/x-1/2x2}e2x dx

6 years ago

Answers : (2)

rajan jha
49 Points
										see the picture of the solution .

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6 years ago
vikas askiitian expert
510 Points
										

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

6 years ago
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