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`sqrt(1+(x^(2))/(9))`

Answer» माना `I=intsqrt(1+(x^(2))/(9))dx`
`=intsqrt((9+x^(2))/(9))dx=(1)/(3)intsqrt((3)^(2)+x^(2))dx`
`=(1)/(3)[(x)/(2)sqrt((3)^(2)+x^(2))+(9)/(2)log|x+sqrt(9+x^(2))|]+C`
`=(x)/(6)sqrt(x^(2)+9)+(3)/(2)log|x+sqrt(9+x^(2))|+C`


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