Let

Let,

=-2ax+5a+b

Hence -2a=-1 and 5a+b=2.

Solving these equations,

we get and .

We get,

Let

Let 5x-6-x²=t

⇒ (5-2x) dx=dt.

When x=2, t=0 and when x=3, y=0.

Hence

Let,

=π

Hence,