(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

sketch and find the area of the region

bounded by the given curves. Choose the variable of integration

so that the area is written as a single integral

y = x, y = 2, y = 6 − x, y = 0

2. Relevant equations

the usual integral fx - gx from a to b

3. The attempt at a solution

here is my graph. my book gave an answer inte [0,1] (6-2y)dy = 8

how come?

okay, so according to my graph above, i don't know where to start. unlike y = x and y = x^2 and y = 0 they have a definite intersection

i find this problem difficult because all these curves intersect at different points

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# Homework Help: Find the area given the curves

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