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Ask iit jee aieee pet cbse icse state board experts Expert Question: indefinite integral
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bhushan_972thebest (0)

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evaluate integral :- sq.root of sinx
    
kiran (948)

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Hi
 
Guys I am working on other method for it. Will put up the solution soon.
 
 
 
Cheers!

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rajat (284)

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listen kiran,on differentiating ur  answer ,we dont get sqr root (sinx).so it is wrong
 
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vasanth (2315)

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u r wrong
this is not just a fn that u can evaluate as such
 
sqrt sinx is a function in a function
 
just differentiate ur answer and u will b able 2 see that u hav gone wrong

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vasanth (2315)

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take x = sin-1
 
sinx =
 d =cosx.dx
d/cosx = dx
dx = d/ 1 - 2
 
sinx dx =  d/1 - 2
evaluate further and get the answer
 
 
 

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vasanth (2315)

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sinx =t
cosx dx/2sinx = dt
dx = (2dt sinx)/cosx
dx = 2dt.t/ (1-t4)
 
 
sinx .dx =t. 2dt.t/(1-t4)
               =  2t2dt/(1-t4)
               
resolve into partial fractions and then integrate
 
if u found ma solution useful
 
plzzzzzzz rate me......
 
 
i'll work it out and post the solution soon
 
cheeeers

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vineetvsb (40)

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hay, it is y=sinx^1/2 ¬ y=sinx
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vineetvsb (40)

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okay,i got it
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vasanth (2315)

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can u post ur solution more clearly vineetnsb
i'm not able to understand ur solution

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t_c511 (192)

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First of all
sin x  is not a integrable function at all u can check any book or consult with the experts

on integrating as shown above 1 gets some answer but on differentiating again you don't get back sin x

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prateek_01 (0)

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The function is not integrable as far as Syllabus upto class XII CBSE is concerned
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t_c511 (192)

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dude but try integrating tht function u'll never get the answer
syllabus is not wat is concerned here the unslovability of integral matter u cannot integrate sqrt sinx indefinitely

the above solution is also wrong

after substituion it should b
sinx =t
cosx =
] 1-t4
sin x = 2t2 dt/( 1-t4 )

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sudeep.kumar (611)

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Well.. yes.. it is not integrable.... within the limits of theorems we have read...

if you r interested in research, you may try to integrate using complex no.s (although better do it after JEE... its not in syllabus)

Sudeep Kumar
(B tech, IITd)

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