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C2 Integration Please help

Question
Find the area enclosed by the y2=x+9 y^{2}=x+9 and the y-axis by taking an element of area (a) parallel to the y-axis and (b) parallel to the x-axis

My working


I have attached it as pics P_20151101_154043_001.jpg
Attachment not found
Attachment not found

please help
i dont understand the question especially the wording and what the ordinates are
its confusing as shown by my lack good working
i simply dont know what to do
please help point me in the right direction how do i select the right element ?
P_20151101_154112.jpg96.5KB
P_20151101_154200.jpg102.2KB
Original post by bigmansouf
...


I don't know where you're getting your 4's and 7's from. They don't seem to relate to the question.

Here's a graph of the function with the desired area shaded, to get you started.
Untitled.jpg21.8KB
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bigmansouf
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Original post by ghostwalker
I don't know where you're getting your 4's and 7's from. They don't seem to relate to the question.

Here's a graph of the function with the desired area shaded, to get you started.


what does "taking an element of the area" mean?
Original post by bigmansouf
what does "taking an element of the area" mean?


When you were first learning integration, you probably had an example that viewed it at vertical strips, of height y and width δx\delta x; those would be the elements of the area, in this case vertical, and leads:

∫y  dx\int y \; dx

Horizontal strips would lead to ∫x  dy\int x \; dy

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