The sum of coefficients of integral powers of x in the binomial expansion of `(1-2sqrt(x))^(50)` is:
(1) `1/2(3^(50)+1)`
(2) `1/2(3^(50))`
(3) `1/2(3^(50)-1)`
(4) `1/2(2^(50)+1)`

Explanation

To find the sum of coefficients of integral powers of \( x \) in the binomial expansion of \( (1 - 2\sqrt{x})^{50} \), we can follow these steps:

### Step 1: Understand the Binomial Expansion
The binomial expansion of \( (a + b)^n \) is given by:
\[ \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k \]
In our case, we have \( a = 1 \) and \( b = -2\sqrt{x} \), and \( n = 50 \).
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