Integral Help

[smileyface497]

Hello all,

I have a presentation to do in class tomorrow and I don't want to embarrass myself by having the wrong answers. Some I just want to check, but others I have NO idea on.

Also I'm not sure how to type an integration problem out for you all, hahah.

The problem says : Let g(x) = the integral from [1, x^2] 1/(t-9) dt.

a. What is the domain of g? (I have no idea how to do this)

b. What is g(2)? g(0)? (For this I plugged in 2 and 0 for x and got -3/40 and 0, respectively.

c. What is g'(2)? g'(0)? (For this I got -5 and 0, respectively)

d. Find any extreme values of g. Justify your answer. (No idea)


Any help would be appreciated. Thank you!

 

[lookagain]

... I'm not sure how to type an integration problem out ...

The problem says : Let g(x) = the integral from [1, x^2] 1/(t-9) dt.

smileyface,

\(\displaystyle for \ starters, \ does \ the \ expression \ for \ g(x) \ = \ \int_{1}^{x^2} \frac{1}{t - 9}dt \ ?\)

 

[smileyface497]

Yes, that's it exactly.

 

[Deleted member 4993]

What function of 'x' did you get for g(x)?

 

[smileyface497]

I believe that's addressed in part 'c' of my original post.

 

[Deleted member 4993]

My question was:

What function of 'x' did you get for g(x)?

Your reply was:

I believe that's addressed in part 'c' of my original post.

Part 'c' of your original post says:

c. What is g'(2)? g'(0)? (For this I got -5 and 0, respectively)

I do not see any expression for g(x) there!