Question

1pt) Evaluate the indefinite integral. Int((2x-2)/((2x^2-4x+1^4))dx ________________________________________________

Answer 1

check your equation again please, is it really 1^4 at the end? or is it supposed to be 2x^2-4x+4, or even (2x^2-4x+1)^4 ?

Answer 2

if it is (2x^2-4x+1)^4 then perm the u substitution
u=2x^2-4x+1 and differentiate it with respect to x, you will obtain that u'=4x-4 and notice that u'=2(2x-2) which is just like your numerator after a simple algebraic manipulation.

Plug these back into your integral and carry on with the integration. Also remember the rule of thumb: Every substitution requires a back substitution.

Answer 3

You're right, (2x^2-4x+1)^4.