Mertsj
Find the area bounded by the given curves using integration, x^2 =2ay , y=2a
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nenadmatematika
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|dw:1329008284308:dw|
Mertsj
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I understand the graph. I want to see the integration.
nenadmatematika
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|dw:1329008454303:dw|
Mertsj
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|dw:1329008751980:dw|
Mertsj
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Why isn't the integral of 2a, 2ax?
nenadmatematika
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it is, but I plugged in the boundaries -2a and 2a immediately
Mertsj
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How is (2x)^3= 16a^3
Mertsj
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Rather (2a)^3=16a^3
nenadmatematika
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|dw:1329009021256:dw|
nenadmatematika
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we think exactly the same I just prefer to plug in the boundaries right away.Also this is also useful thing that you can use when you try to solve the integral of an even function:
nenadmatematika
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|dw:1329009164444:dw|
nenadmatematika
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I could use this property in the example above, I would get the same result :D
Mertsj
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Wow!! I finally got it. Thank you so much for your patience.
nenadmatematika
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ok, if you have some troubles with integrals be free to post so we can solve it fast and easy....well, I gotta go now, it's 2:23 in my country...good night :D