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Find an anti derivative (or integral) of the following functions by the method of inspection.
sin 2x
The anti derivative of sin 2x is a function of x whose derivative is sin 2x.
It is known that,
Therefore, the anti derivative of
Find an anti derivative (or integral) of the following functions by the method of inspection.
Cos 3x
The anti derivative of cos 3x is a function of x whose derivative is cos 3x.
It is known that,
Therefore, the anti derivative of 
.
Find an anti derivative (or integral) of the following functions by the method of inspection.
e2x
The anti derivative of e2x is the function of x whose derivative is e2x.
It is known that,
Therefore, the anti derivative of 
.
Find an anti derivative (or integral) of the following functions by the method of inspection.
The anti derivative of is the function of x whose derivative is .
It is known that,
Therefore, the anti derivative of 
.
Find an anti derivative (or integral) of the following functions by the method of inspection.
The anti derivative of 
is the function of x whose derivative is .
It is known that,
Therefore, the anti derivative of is 
.
The anti derivative of 
equals
(A) 
(B) 
(C) 
(D) 
Hence, the correct answer is C.
If 
such that f(2) = 0, then f(x) is
(A) 
(B) 
(C) 
(D) 
It is given that,
∴Anti derivative of 
∴
Also,
Hence, the correct answer is A.
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