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kbanagar (115)

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integrate w.r.t x
[ ]
[ ]  x3__ dx..............
       2x+1





lighten up the darkness............

    
nadeemoidu (1191)

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put 2x+1=t
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12121212 (343)

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Just divide the numerator by the denominator and express it in the form dividend=divisor*quotient + remainder, such that it can easily be integrated.
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hsbhatt (5809)

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x3/2x+1 dx
 
= 1/88x3/2x+1 dx
 
Numerator = 8x3 =  8x3 + 1 - 1 = (2x+1) (4x2-2x+1) - 1
 
Hence 8x3/2x+1 dx = (4x2-2x+1) dx - 1/2x+1 dx
 
The rest is easy
 
 

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elessar_iitkgp (2390)

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Good solution @hsbhatt



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kbanagar (115)

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thanx a lot guyz..............


lighten up the darkness............

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