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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: integrate if u can 2
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coolkrazy007 (25)

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nknikhilesh1 (108)

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Please reply this one

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nknikhilesh1 (108)

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What happened to u all.please integrate it.....

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ankitagg (302)

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i think i have done this




 


integrating by parts




 


I= root (1+x^3) int. 1dx - int. [d/dx(root(1+x^3).int. 1.dx]




 


I=x.root (1+x^3) - 3/2int. [x^3/root(1+x^3)]


take 1+x^3=t^2




 


3x^2dx=2t  dt




 


dx=2t/3x^2 dt




 


putting dx




 


I=x.root(1+x^3) - int. xdt




 


I=x.root(1+x^3) - int.(t^2-1)^1/3 dt


can anyone do after this.

 


 

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coolkrazy007 (25)

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only god can integrate it i think...

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deedee (1944)

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so put (1+x^3)=t^2


thus u get x=(t^2-1)^1/3


thus dx=(1/3)*(t^2-1)^(1/3 - 1) * 2t dt


thus dx=(2/3)*t/(t^2-1)^2/3


nw put t^2-1 =z


thus 2tdt=dz


thus ur integral reduces to ....



u can easily integrate it ................


don't walk as if u rule d world
walk as if u dont care who rules d world

-this is knw as attitude


B who u r and say wat u feel ......
coz those who mind don't matter ........
and those who matter dont mind ......... :)


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nknikhilesh1 (108)

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Good work deedee ,  a nice approach

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nknikhilesh1 (108)

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but when u assume 1+x^3=t^2 its root will be t ,where is it,,,,,,,,

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roopa1991 (18)

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yes t is missing, which makes your answer perfectly wrong.


BE HAPPY.
MAKE OTHERS HAPPY.
lakshmiroopa1991@gmail.com
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deedee (1944)

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SILLy me !!


(1+x^3)^1/2


so nw put (1+x^3)=t^2


so u get x=(t^2-1)^1/3


dx=(2/3)*t/(t^2-1)^(2/3)


so nw ur integral bcums ,.........................


so nw  put (t^2-1) =z so ur integral bcums (1/3)*(z-1)^1/2  / (z)^2/3


thinkin after this ........solly 4 dat wrng sol silly me bhul gayi


don't walk as if u rule d world
walk as if u dont care who rules d world

-this is knw as attitude


B who u r and say wat u feel ......
coz those who mind don't matter ........
and those who matter dont mind ......... :)


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nknikhilesh1 (108)

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One of my teachers told it can't be integrated.its integration can't be found.........


So, i am telling the person who posted the question.........


Please don't ask such question..this is wasting others time as well as ur time.........

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coolkrazy007 (25)

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how did deedee post that soln


its not integrable i thnk...


may i ask y is it not integrable>??

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nknikhilesh1 (108)

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Where deedee has posted the ful solution of that question.............

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