If `int sin^4 x cos^4 x dx=1/128 [ax-sin4x+1/8 sin8x]+c` then `a=`

Explanation

To solve the integral \( \int \sin^4 x \cos^4 x \, dx \) and find the value of \( a \) in the expression given, we can follow these steps:

### Step 1: Rewrite the integral
We start with the integral:
\[ \int \sin^4 x \cos^4 x \, dx \]
We can rewrite \( \sin^4 x \cos^4 x \) as:
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