Q17 of 45 Page 1

Evaluate:

OR


Evaluate:

We have,










= tan x – cot x - 3x +C


OR



Let


⇒ x-3 = A(2x+3) +B


⇒ x-3 = 2Ax+(3A+B)


Equating the coefficient, we get


2A=1 and 3A+B=-3


⇒


⇒


∴


⇒


Let


And


⇒


Now,


Let x2+3x-18 = t


⇒ 2x+3 dx=dt


∴


⇒


Again,


=


=


=


Thus,


⇒


⇒


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