More Questions I can't do. (1 Viewer)

[bradc1988]

Ok;

Let f(x) = sin^-1x + cos^-1x, 0<=x<=1
a) Find f'(x) - (I can do this but I think the answer to this is used in part b)
b) Find the integral of f(x) from 0 to 1.

Find the range of f(x) = sin^-1 [2x(1-2x)], with domain 0<=x<=1

That's all I have at the moment. Thanks in advance for the answers.

 

[香港!]

Ok;

Let f(x) = sin^-1x + cos^-1x, 0<=x<=1
a) Find f'(x) - (I can do this but I think the answer to this is used in part b)
b) Find the integral of f(x) from 0 to 1.

Find the range of f(x) = sin^-1 [2x(1-2x)], with domain 0<=x<=1

That's all I have at the moment. Thanks in advance for the answers.

b) int fx dx=int. (pi\2) dx=...

-pi/2 <= y <= sin^-1 (1\4) for the range thing

 

[bradc1988]

Ok I get b), but how did you get the range in the 2nd question?

 

[Bellow]

b) int fx dx=int. (pi\2) dx=...

-pi/2 <= y <= sin^-1 (1\4) for the range thing

i dont get y Ri/2 <= y <= sin^-1 (1\4)
isnt it jus -pi/2<=y<=pi/2?

 

[香港!]

Find the range of f(x) = sin^-1 [2x(1-2x)], with domain 0<=x<=1

MAX value of "2x(1-2x)"=1\4
so y<sin^-1 (1\4)
then it just goes normally with the -pi\2
-pi\2<y<sin^-1 (1\4)