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Integrate the following intx(sqrt(x^2+3)dx (x^2+3=v)

Answer»

SOLUTION :`intxsqrt(x^2+3)DX` [PUT`x^2+3=r^2`then 2xdx=2tdt or xdx=tdt]
`intsqrt(t^2)tcdot t =intt^2dt=(1/3)t^3+C`
`(1/3)(x^2+3)^(3/2)+C`


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