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anonymous
 5 years ago
if a usubstitute is used to evaluate elongated s with a high exponet of 5 and a low of 1 followed by x(x^2+2)^5dx, then the equivalent definte integral is...?
anonymous
 5 years ago
if a usubstitute is used to evaluate elongated s with a high exponet of 5 and a low of 1 followed by x(x^2+2)^5dx, then the equivalent definte integral is...?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{1}^{5}x(x^2+2)^5\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think that if you let u = (x^2 + 2) and du = 2x dx you can make the substitution as follows: \[1/2 \int\limits_{1}^{5}u^{5} du\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0than to find the definte integral you just solve?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh ok. i understand now. that is the answer. thank you soo much! ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yeah! You take the antiderivative which, in this case, would be \[1/2\left[1/6u ^{6}\right]_1 ^5\] and then replace "u" with u=x^2 +2 and solve.
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