Q. 5 3.8( 44 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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