To find an anti derivative of a given function, we search intuitively for a function
whose derivative is the given function The search for the requisite function for finding
an anti derivative is known as integration by the method of inspection We illustrate it
through some examples INTEGRALS         295
Example 1 Write an anti derivative for each of the following functions using the
method of inspection:
(i)
cos 2x
(ii)
3x2 + 4x3
(iii)
1
x , x ≠ 0
Solution
(i)
We look for a function whose derivative is cos 2x