A community for students.
Here's the question you clicked on:
 0 viewing
Sujay
 3 years ago
Solve the following Definite Integral purely analytically (no graphs or calculators):
Sujay
 3 years ago
Solve the following Definite Integral purely analytically (no graphs or calculators):

This Question is Open

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

NoelGreco
 3 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.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.