Q1 of 271 Page 299

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

sin 2x

We know that


Therefore, the anti-derivative of sin2x is


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2

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

cos 3x

 3

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

e2x

 4

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

(ax + b)2

 5

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

sin 2x – 4 e3x