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Mathematics

Hot goIITian

 Joined: 15 Feb 2012 Post: 180
12 Mar 2012 11:32:46 IST
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Engineering Entrance , JEE Main , CBSE Board , JEE Main & Advanced , Mathematics , Integral Calculus , CBSE XII (Science) , Mathematics I , Mathematics II

integrate   x3  / (1+x2)9/2

Hot goIITian

Joined: 21 Feb 2012
Posts: 109
12 Mar 2012 18:11:45 IST
1 people liked this

First substitute,

x^2=z or, 2xdz=dz

So the integrand becomes,

Now, take z+1=u, or dz=du.

So, the intergral is now,

So, putting u=z+1 or u=x^2+1, we get

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