# How to solve (e) and (f)

#### Subhotosh Khan

##### Super Moderator
Staff member
For (e), substitute

u = x -1

Don't forget to change the limits of integration after substitution.

#### helpmath00

##### New member
For (e), substitute

u = x -1

Don't forget to change the limits of integration after substitution.
It should be the same answer as (a) right?

#### HallsofIvy

##### Elite Member
The equation of a circle, with center at (1, 0) and radius 1 is $$\displaystyle (x- 1)^2+ y^2= 1$$. The semi-circle above the x-axis is given by $$\displaystyle y= \sqrt{1- (x- 1)^2}$$. So for (f), $$\displaystyle [f(x)]^2= 1- (x-1)^2= 2x- x^2$$.