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Mathematics 7 Online
OpenStudy (luigi0210):

Definite integral:

OpenStudy (luigi0210):

http://prntscr.com/3fdzdt

hartnn (hartnn):

just separate out the denominator..

hartnn (hartnn):

(a+b)/c = a/c+b/c

OpenStudy (luigi0210):

I tried this.. does it look right? \[\Large \int_{1}^{61} \frac{1+x^{1/3}}{\sqrt{x}}=\int_{1}^{61} \frac{1}{\sqrt{x}}+\int_{1}^{61} \frac{x^{1/3}}{x^{1/2}}\] Which gave me \[\Large \int_{1}^{61}\frac{1}{\sqrt{x}}+\int_{1}^{61}\frac{1}{x^{1/6}}\] Integrating it.. ( \((\Large 2\sqrt{x}+\frac{6}{5}x^{5/6})|_{1}^{61})\) ) Am I right so far?

OpenStudy (luigi0210):

I was trying that :P

hartnn (hartnn):

i thought upper limit is 64

hartnn (hartnn):

everything else is correct :)

OpenStudy (luigi0210):

Whoops, sorry I'm too tired for this >.< But thanks hartnn :D

hartnn (hartnn):

welcome lui ^_^

hartnn (hartnn):

see if you get final answer as 256/5 :)

OpenStudy (luigi0210):

Yup.. once I changed the 61 to a 64 that was xD

sammixboo (sammixboo):

Oops

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