Ac3
  • Ac3
(2pi)Integral(xsqrt(1+(1/(3(x)^(2/3)))^2))
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Zale101
  • Zale101
\(\Large 2\pi \int_{}^{} x\sqrt{1+\frac{1}{(3(x)^{2/3})^2}} *dx\) Does the question look like this?
Ac3
  • Ac3
|dw:1438455958601:dw|
Ac3
  • Ac3
It's this one.

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Zale101
  • Zale101
\[2\pi \int\limits_{1}^{2} x\sqrt{(\frac{1}{9x^{4/3}}+1)}dx=2\pi \int\limits_{1}^{2} \sqrt{x^2(\frac{1}{9x^{4/3}}+1)}dx\] \[=2\pi \int\limits_{1}^{2} \sqrt{\frac{x^2}{9x^{4/3}} +x^2}dx=2\pi \int\limits_{1}^{2} (1/3)\sqrt{x^{2/3}(9x^{4/3}+1)}dx=\]
Zale101
  • Zale101
i'm stuck X - X
Zale101
  • Zale101
@ganeshie8 @Empty
Ac3
  • Ac3
so am i lol
nincompoop
  • nincompoop
\(\huge 2\pi \int\limits_1^2x \sqrt{1+ \left( \frac{1}{3x^\frac{2}{3}}\right)^2} dx\) like this?
nincompoop
  • nincompoop
wow that took me a while to figure out that huge parenthesis
nincompoop
  • nincompoop
can you simplify it first?
Zale101
  • Zale101
Yeah. It's like that.
Zale101
  • Zale101
I just did few algebra steps and gave up xD
nincompoop
  • nincompoop
|dw:1438483807947:dw|
nincompoop
  • nincompoop
that is some algebraic gymnastics LAUGHING OUT LOUD
nincompoop
  • nincompoop
|dw:1438484561009:dw|
nincompoop
  • nincompoop
|dw:1438484782479:dw|
nincompoop
  • nincompoop
|dw:1438485339456:dw|
nincompoop
  • nincompoop
OH SNAP that is some acrobatic moves
Zale101
  • Zale101
Good job!
nincompoop
  • nincompoop
I haven't done this crap in a while.
nincompoop
  • nincompoop
someone needs to check the algebra tho HAHAHA I am pretty biased that I did everything according to the rules of exponents.
Ac3
  • Ac3
I originally took the wrong derivative which led to the wrong integral lol. Thanks anyway guys I appreciate it.
nincompoop
  • nincompoop
wowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
Zale101
  • Zale101
WHAT?! Okay....

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