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Please solve the attached integral problem..........................?

Please solve the attached integral problem..........................?

Question Image
Grade:12

3 Answers

Arun
25763 Points
3 years ago
Assume t = 1 + sqrt (x)
 
t -1 = sqrt(x)
 
t² + 1 -2t = x
 
(2t - 2) dt = dx
 Hence
 
\tiny \intsqrt(t) * 2 (t-1) dt
 
=2 \tiny \int (t^3/2 - t^1/2 )dt
 
Now you can solve it.
Deepak Kumar Shringi
askIITians Faculty 4405 Points
3 years ago
562-2154_Capture.PNG
AKASH RAGHUWANSHI
13 Points
3 years ago
Put 
x=sin2t*sin2t
dx=4sin2t cos2t dt
Hence
Integration will be
(sint+cost) *4sin2tcos2t
Now you can easily solve
 

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