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

#Calculus #Integration

Easy Math Editor

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Comments

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..

Subhrajyoti Sinha - 6 years, 5 months ago

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

Rhoy Omega - 6 years, 5 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$