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
}
=