math
posted by abhi on .
Integrate x^2/rootx1..

this one is a bit less complicated than the last one.
∫x^2/√(x1)
Let u^2 = x1
2u du = dx
x = 1+u^2
and we have
∫(1+u^2)^2/u 2u du
2∫(1+u^2)^2 du
2∫1 + 2u^2 + u^4 du
2(u + 2/3 u^3 + 1/5 u^5)
2/15 √(x1)(15 + 10(x1) + 3(x1)^2)
2/15 √(x1)(15 + 10x  10 + 3x^2  6x + 3)
2/15 √(x1) (3x^2 + 4x + 8) 
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