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solution of this integration

i remember this once shared on brilliant but i forgot to save the solution. so everyone please if you remember the solution, you have the solution, or maybe you can do this without knowing the solution, please share here. need it nowww, ASAP

Note by Dina Andini Sri Hardina
2 years, 9 months ago

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@Dina Andini Sri Hardina : That problem is featured here : (https://brilliant.org/problems/tricky-beast/?group=nTOy6GXF5pKs) It also has the solution.

- 2 years, 9 months ago

for 0to1 x^1004 (1-x)^1004dx=0 to 1/2 2*x^1004 (1-x)^1004dx and for 0to1 x^1004 (1-x^2010)^1004 substitute x^2015=1-2t..

- 2 years, 9 months ago