Evaluate the following integrals:

We will use basic formula : (a + b)2 = a2 + b2 + 2ab


Or, a2 + b2 = (a + b)2 -2ab


Here,


=


Applying above formula, we get


=


=


Hence, =


Separate the numerator terms,



= { add and subtract 2 to the second term)


= { }


=


= { since }


=


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