Evaluate the following integrals:

The denominator is of the form cosC - cosD = ![]()
∴ cos3x - cosx= ![]()
∴ cos3x - cosx= - 2sin2x.sinx
- 2sin2x.sinx = - 2.2.sinx.cosx.sinx
- 2sin2x.sinx= - 4sin2x.cosx
Also sin2x + cos2x = 1
⇒ ![]()
⇒ ![]()
⇒ ![]()
⇒ ![]()
d(cscx) = cscx.cotx
∴ ![]()
∴ ![]()
∵ ![]()
⇒ ![]()
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