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do a substitution with u=10-x

sorry kill that u=x-10 that should say

du/dx = 1

wait

that wont work

this isnt hard

use binomial formula to expand (x-10)^10

no i see the problem, yeah it seemed to easy

integral x [ x^10 + 10 choose 1 x^9 (-1) + 10 choose 2 x^8 * (-1)^2 + ...

make a pascal triangle

here http://www.twiddla.com/491685

online whiteboard

oh

how about integral x^2 (x-10)^10

it doesn't have to be complex this problem is purely in the reals

ac, right. i think he meant . wrong choice of words

Oh, I meant complex as in 'difficult', lol.

hehe

i became both of you guys fans

acland, it would be much tougher if you had to do
integral x^10 (x-10)^10 dx

then there is no avoiding pascal's beautiful triangle

u = x-10
du = dx
u + 10 = x so int (u+10) u^10

if it was x^10 i just wouldnt bother and would leave my final answer as an integral

so int u^11 + 10 u^10

i got a toughie

i thought about using a double integral