## Ac3 one year ago (2pi)Integral(xsqrt(1+(1/(3(x)^(2/3)))^2))

1. Zale101

$$\Large 2\pi \int_{}^{} x\sqrt{1+\frac{1}{(3(x)^{2/3})^2}} *dx$$ Does the question look like this?

2. Ac3

|dw:1438455958601:dw|

3. Ac3

It's this one.

4. Zale101

$2\pi \int\limits_{1}^{2} x\sqrt{(\frac{1}{9x^{4/3}}+1)}dx=2\pi \int\limits_{1}^{2} \sqrt{x^2(\frac{1}{9x^{4/3}}+1)}dx$ $=2\pi \int\limits_{1}^{2} \sqrt{\frac{x^2}{9x^{4/3}} +x^2}dx=2\pi \int\limits_{1}^{2} (1/3)\sqrt{x^{2/3}(9x^{4/3}+1)}dx=$

5. Zale101

i'm stuck X - X

6. Zale101

@ganeshie8 @Empty

7. Ac3

so am i lol

8. nincompoop

$$\huge 2\pi \int\limits_1^2x \sqrt{1+ \left( \frac{1}{3x^\frac{2}{3}}\right)^2} dx$$ like this?

9. nincompoop

wow that took me a while to figure out that huge parenthesis

10. nincompoop

can you simplify it first?

11. Zale101

Yeah. It's like that.

12. Zale101

I just did few algebra steps and gave up xD

13. nincompoop

|dw:1438483807947:dw|

14. nincompoop

that is some algebraic gymnastics LAUGHING OUT LOUD

15. nincompoop

|dw:1438484561009:dw|

16. nincompoop

|dw:1438484782479:dw|

17. nincompoop

|dw:1438485339456:dw|

18. nincompoop

OH SNAP that is some acrobatic moves

19. Zale101

Good job!

20. nincompoop

I haven't done this crap in a while.

21. nincompoop

someone needs to check the algebra tho HAHAHA I am pretty biased that I did everything according to the rules of exponents.

22. Ac3

I originally took the wrong derivative which led to the wrong integral lol. Thanks anyway guys I appreciate it.

23. nincompoop

wowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww

24. Zale101

WHAT?! Okay....