Register to reply 
Definite Integrals and Area 
Share this thread: 
#1
May706, 08:28 PM

P: 240

ok, my question involves two different sets of directions ..
1. Use integration to find the area of each shaded region. 2. Evaluate each definite integral. Ok, my question is this... do i do the same thing for both of these directions? .. Even further... say I have a function that goes over and under the xaxis.. and i'm asked to find the area when the function is bounded in such a way that the area would be both over and under the xaxis... For direction #1, i would find the zeros of the function and use the fundamental theorem of calculus and do each part separately.. taking the absolute value of each.. and adding the two areas together.. ok.. i got that.. but for #2.. do i do the same thing? or would i just apply the fundamental theorem of calculus without absolute values and without finding zeros? A good example would be: Is this done correctly? or would i still do any absolute value or splitting into regions with direction #2? If i'm correct.. Direction #2 can have negative values or even 0, and direction #1 will always have positive values? Please clarify all this someone.. thanks. 


#2
May706, 10:12 PM

P: 146

I believe that the question is just asking you to set up two different integrals for the region 1 to 1... For this, you'd have to split it up into two pieces, as you did, and solve.
So direction one I think is asking you to just figure out and set up the integrals. Direction two is asking you to solve, I believe. But what you did first was correct, I believe. 


#3
May706, 10:40 PM

P: 240

well, thing is.. it's not two different directions for the same problem.. i just used that example as.. an example lol... they have one whole section of about 10 problems with the 1st direction.. then they have another 10 problems asking to be solved using the 2nd direction..
it's not both for each problem 


#4
May706, 10:53 PM

P: 1,076

Definite Integrals and Area



#5
May706, 10:58 PM

P: 240

thanks for the clarification



Register to reply 
Related Discussions  
Calculator program gives incorrect results (Definite Integrals/ Area)  Calculus & Beyond Homework  16  
Don't definite Integrals find area?  Calculus & Beyond Homework  2  
Definite Integrals  Calculus & Beyond Homework  11  
Definite integrals  Introductory Physics Homework  6  
Definite integrals  Calculus  8 