Binomial Expansion Formula

We know,
On integrating both sides 0 to 1, we get

The given expansion is,




Coefficient of

Step 1: Expanding the Binomial Expression
We use the binomial expansion for : Simplifying the powers of :
Step 2: Finding the Term Independent of
The term independent of will occur when the exponent of is zero, i.e., when .
Solving for : Substituting into the binomial expansion:
Step 3: Conclusion
Thus, the term independent of is .