Evaluate the following integrals:

While solving these types of questions, it is better to eliminate the denominator.

⇒

Add and subtract b in (x - a)

⇒

⇒

Numerator is of the form sin(A + B) = sinAcosB + cosAsinB

Where A = x - b ; B = b - a

⇒

⇒

⇒

⇒

As

⇒ cos(b - a)x + sin(b - a)ln|sin(x - b)|