[FONT=MJXc-TeX-main-R, MJXc-TeX-main-Rw]1 - 4x - 4x2
= -4 (x2 + x - 1/4)
= -4 (x2 + x + 1/4 - 1/4 - 1/4)
= -4 [(x + 1/2)2 - 1/2]
How do you simplify [/FONT]-4 [(x + 1/2)2 - 1/2] to 2 - (2x + 1)2 as in the following?[FONT=MJXc-TeX-main-R, MJXc-TeX-main-Rw]
[/FONT]
= -4 (x2 + x - 1/4)
= -4 (x2 + x + 1/4 - 1/4 - 1/4)
= -4 [(x + 1/2)2 - 1/2]
How do you simplify [/FONT]-4 [(x + 1/2)2 - 1/2] to 2 - (2x + 1)2 as in the following?[FONT=MJXc-TeX-main-R, MJXc-TeX-main-Rw]
[/FONT]
Problem:
∫dx∫1−4x2−4x+1dx
Complete the square:
=∫dx
∫
1
√−4x2−4x+1
Complete the square:
=∫
1
√2−(2x+1)2