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anonymous
 5 years ago
solve using the trapezoidal rule:
anonymous
 5 years ago
solve using the trapezoidal rule:

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{0}^{1}\sqrt{1x ^{2}}\] by dividing into 5 parts

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0couldn't you use trig substitution = sin^1 (x) +C

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i know its a pretty easy question but my attempts don't match the answers at the back. this is what i did: \[\int\limits_{0}^{1}\sqrt{1x ^{2}}\approx \int\limits_{0}^{1/5}\sqrt{1x ^{2}}+ \int\limits_{1/5}^{2/5}\sqrt{1x ^{2}}+ \int\limits_{2/5}^{3/5}\sqrt{1x ^{2}}+ \int\limits_{3/5}^{4/5}\sqrt{1x ^{2}}+ \int\limits_{4/5}^{1}\sqrt{1x ^{2}}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but i have to use the trapezoidal rule as i will be assessed on it lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then following from above : \[\approx1/10(1+\sqrt{24}/5)+1/10(\sqrt{24}/5+\sqrt{21}/5)+1/10(\sqrt{21}/5+4/5)+1/10(4/5+3/5)+1/10(3/5+0)\]

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0oh ok http://en.wikipedia.org/wiki/Trapezoidal_rule = (1)(1/2) = 1/2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i actually understand the rule but i cant see where ive gone wrong in my working after attempting numerous times

toxicsugar22
 5 years ago
Best ResponseYou've already chosen the best response.0hi can u help me after her

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[A= \frac{h}{2} ( f(x0) + 2 [ f(x1) + f(x2) + .....+ f(x(n1)] + f(xn) ) \]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0general trapezodial rule

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0which is the same as \[\int\limits_{a}^{b}f(x)\approx ba/2(f(a)+f(b))\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0by dividing into 5 intervals as it asks

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0now, diving into 5 sections means using 6 function values

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i used from 0, 1/5, 2/5, 3/5, 4/5, 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0god this is slow, im going to post the answer as a question

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if it makes a difference this is the exact wording of the question use the trapezoidal rule with five function values to estimate \[\int\limits_{0}^{1}\sqrt{1x ^{2}}\] to four decimal places
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