1.

Integrate the following functions 1/sqrt((2-x)^2+1)

Answer»

SOLUTION :`INT 1/(SQRT(2-x)^2+1) DX`
=`1/-1 log|2-x +sqrt((2-x)+1)|+c`
=`-log|2-x+sqrt((2-x)^2+1)|+c`
=`log|2-x+sqrt((4-4x+x^2)+1)|^-1+c`
`log|1/(2-x+sqrt(x^2-4x+5)|+c`


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