Evaluate the following integrals

Let ![]()
Using 
And
,
we get


Let ![]()
⇒
,
when x=0, t=0
and when
, t=1.
Hence,
![]()


Let t-2=u
⇒ dt=du.
Also, when t=0, u=-2
and when t=1, u=-1.

![]()
![]()
Hence,
![]()

![]()


(Using
)
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