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anonymous
 5 years ago
How do I solve the integral of x(x10)^10?
anonymous
 5 years ago
How do I solve the integral of x(x10)^10?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0do a substitution with u=10x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sorry kill that u=x10 that should say

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0use binomial formula to expand (x10)^10

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no i see the problem, yeah it seemed to easy

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0integral x [ x^10 + 10 choose 1 x^9 (1) + 10 choose 2 x^8 * (1)^2 + ...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0make a pascal triangle

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i think you should be able to use the substitution u=x10 du/dx = 1 so this is the integral of (u+10)u^10 which is simply u^11 +10u^10 so this gives soln (u^12)/12 +10(u^11)/11 and then put x back in for u

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You have to use a complex substitution: \[\int\limits_{}^{} x(x10)^{10} dx\] u = x10 x = u + 10, dx = 1 du Substitute and profit!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how about integral x^2 (x10)^10

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it doesn't have to be complex this problem is purely in the reals

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ac, right. i think he meant . wrong choice of words

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Oh, I meant complex as in 'difficult', lol.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i became both of you guys fans

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0acland, it would be much tougher if you had to do integral x^10 (x10)^10 dx

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then there is no avoiding pascal's beautiful triangle

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0bad choice of words, you get to used to dealing with complex number systems all the time. For the x^2 one you should be able to use the same idea and have the integral of \[(u+10)^2+u^{10}\] yeah if it was x^10 then you would have to look at other ways of solving it

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0u = x10 du = dx u + 10 = x so int (u+10) u^10

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if it was x^10 i just wouldnt bother and would leave my final answer as an integral

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so int u^11 + 10 u^10

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0A tract of land bordered by a highway along the yaxis, a dirt road along the xaxis, and a river whose path is given by the equation y=40.2x^2, where x and y are in hindreds of meters. The tract is 300m deep along the dirt road The value of the land is constant in any strip parallel to the highway and increases as you move way from the highway, with the value given by v=1000+50x dollars per 10,000 m^2 at the sample point (x,y). Find dW, the worth of a strip. Write an integral that equals the worth of the entire tract.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i thought about using a double integral
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