Are you sure you posted the correct integral?
Wolfram does not give a reduction formula for this one...
%29]]integral[(x^n)/(Sqrt[2*a*x - x^2])] - Wolfram|Alpha
find the reduction formula of the following integral: ∫((xⁿ)/(√(2ax-x²)))dx
=(1/(√(2ax-x²)))∫xⁿ.dx-∫[(d/(dx))((1/(√(2ax-x²))))∫xⁿ.dx].dx
=(1/(√(2ax-x²))).((xⁿ⁺¹)/(n+1))-∫[((a-x)/((2ax-x²)^{3/2})).((xⁿ⁺¹)/(n+1))].dx
couldnot figure out how to proceed further...please help!!!
Are you sure you posted the correct integral?
Wolfram does not give a reduction formula for this one...
%29]]integral[(x^n)/(Sqrt[2*a*x - x^2])] - Wolfram|Alpha
perhaps u misunderstood my question. finding the reduction formulae for an integral means expressing it in terms of an integral which has a lower index. say for example:∫tanⁿx=I(n) where n is the subscript of I actually . Now reduction formulae of this is I(n)=((tanⁿ⁻¹x)/(n-1))-I(n-2). after finding this we can go on reducing to get the lowest-index integral which would be ∫tan x.dx.and thus get the solution.....something of a similar sort needs to be done in my problem.