# 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,

x4 + 1 = (x2 + 1)2 - 2 × 1 × x2

=

Hence, =

Separate the numerator terms,

=

{ add and subtract 2 to the second term)

=

{ }

=

=

{ since }

=

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