1.

intdx/(sqrt(x+1)+sqrt(x+2))

Answer»

SOLUTION :`I=intdx/(SQRT(x+1)+sqrt(x+2))`
=`INT(sqrt(x+1)-sqrt(x+2))/(x+1-x-2)DX`
=`intsqrt(x+2)-sqrt(x+1)dx`
=`2/3(x+2)^(3/2)-2/3(x+1)^(3/2)+C`


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