Q. 53.8( 44 Votes )

# Find an anti-derivative (or integral) of the following functions by the method of inspection.

sin 2x ā 4 e^{3x}

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 – 4e^{3x}

Therefore, the anti-derivative of sin 2x – 4 e^{3x} is .

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