Q. 53.7( 75 Votes )
Find an anti-derivative (or integral) of the following functions by the method of inspection.
sin 2x – 4 e3x
Answer :
We know that
Therefore, the anti-derivative of sin2x is 
…(1)
Also,
Therefore, the anti-derivative of 
is 
…(2)
From (1) and (2), we get,
= sin 2x – 4e3x
Therefore, the anti-derivative of sin 2x – 4 e3x is 
.
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