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Mathematics 16 Online
OpenStudy (lynda.boyce):

I need help interpreting the meaning of a integral

OpenStudy (lynda.boyce):

\[\int\limits_{10}^{5}200x^1.075dx\]

OpenStudy (zzr0ck3r):

that is written weird.

OpenStudy (lynda.boyce):

i'm sorry the 5 and 10 need to be switched

OpenStudy (amoodarya):

do you men ? \[\int\limits_{5}^{10}200x^{1.075}dx\]

OpenStudy (zzr0ck3r):

ahh

OpenStudy (lynda.boyce):

\[\int\limits_{5}^{10}200x ^{1.075}\]

OpenStudy (zzr0ck3r):

\(\int_a^bcx^ldx = \frac{c}{l+1}x^{l+1}|_a^b\)

OpenStudy (zzr0ck3r):

where \(f(x) |_a^b \implies f(b) - f(a)\)

OpenStudy (lynda.boyce):

I'm suppose to interpret it but I am not understanding what he means(my professor). He says I think to explain it not solve it

OpenStudy (zzr0ck3r):

do you know what the graph looks like?

OpenStudy (lynda.boyce):

there isn't a graph

OpenStudy (zzr0ck3r):

graph the function you are taking the integral of. i.e. graph \(f(x) = 200x^{1.075}\)

OpenStudy (kash_thesmartguy):

@Study_together can you help?

OpenStudy (study_together):

a function of which a given function is the derivative, i.e., which yields that function when differentiated, and which may express the area under the curve of a graph of the function.

OpenStudy (zzr0ck3r):

Graph the function. then it is the area between 5 and 10

OpenStudy (study_together):

Does that help @Kash_TheSmartGuy

OpenStudy (zzr0ck3r):

not just under the curve.... I think that is a bad way of saying it... we must balance out the negative when looking at it as area...

OpenStudy (amoodarya):

|dw:1436311731447:dw|

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