Question

how we use binomial theorem to find particular integral​

Answer 1

We give an alternate proof of the binomial theorem by solving an nth order ... it is easy to see that fp(t) = tn is the particular integral of (2). ... substituting the values of ck's in (4), we obtain

Answer 2

Answer:

Integrating Binomial Expansion is being used for evaluating certain series or expansions by substituting particular values after integrating binomial expansion. It is important to find a suitable number to substitute for finding the integral constant if done in indefinite integral. If the definite integral is used, then it is important to set the upper and lower limits.

(1+x)n=(n0)x0+(n1)x1+(n2)x2+⋯+(nn)xn