1
vote
1answer
496 views

Derive recursion formula for an integral

Im having trouble understanding questions involving deriving a recursion formula. I need to derive the recursion formula for $I_n$ where $n>=2$ $$I_n = \int(x^2-1)^n dx$$ The other questions ive ...
7
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2answers
629 views

Recursive Integration over Piecewise Polynomials: Closed form?

Is there a closed form to the following recursive integration? $$ f_0(x) = \begin{cases} 1/2 & |x|<1 \\ 0 & |x|\geq1 \end{cases} \\ f_n(x) = ...