Write an anti derivative for each of the following functions using the method of inspection:(i) `cos 2x` (ii) `3x^2+4x^3` (iii) `1/x , x!=0`

Explanation

To find the antiderivatives of the given functions using the method of inspection, we will analyze each function and identify a function whose derivative matches the given function.

### Step-by-Step Solution:

**(i) Find the antiderivative of `cos(2x)`**

1. Recall the derivative of `sin(θ)` is `cos(θ)`.
2. Using the chain rule, the derivative of `sin(2x)` is `2cos(2x)`.
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