Question

difficult mix u-sub and inverse trig integral problem (Pic included) please

Answer 1

the answer was \[1/2\ln|x ^{2}-4x+5|+\arctan(x-2)+C\]

Answer 2

i'm close but i keep gettting -arctan(x-2)+C instead of +

Answer 3

what i did was seperate it into two different integrals and evaluated each one. the one with ln i used u-sub and the one with arctan i used inverse trig along with completing the square