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Sujay
 2 years ago
Solve the following Definite Integral purely analytically (no graphs or calculators):
Sujay
 2 years ago
Solve the following Definite Integral purely analytically (no graphs or calculators):

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Sujay
 2 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{0}^{5}∣(x^2−5x+4)∣dx\]

NoelGreco
 2 years ago
Best ResponseYou've already chosen the best response.2You have to split this one up into three different integrals:dw:1360284094229:dw You have to flip that dip below the xaxis across the xaxis (it's absolute valut is positive. The integrate 0 to 1, (1) times 1 to 4 , and then 4 to 5. Add em up.

alffer1
 2 years ago
Best ResponseYou've already chosen the best response.0This is three separate integrals: x^3/3, 5x^2/2, and 4x. Evaluate each of these from 0 to 5: (5^3/3  5*5^2/2 +4(5))  (0^3/3  5*0^2/2 +4(0). The second part all goes to zero, so you're left with 125/3  125/2 +20. Over a common denominator that is (250375+120)/6, = (370  375)/6 = 5/6. Your answer is 5/6.
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