I see the square root x, in the equation. I just don't understand where the 1/4 went or how it contributes to the square root x.
Or I'm not understanding your comment correctly.
The subtitution used in the example u = ln(x) after using the log rule.
So using the log rule
Integral ( ln sqrt(x) / x ) dx
= Integral ( ln (x)^1/2 / x ) dx , use log rule to move 1/2 in front of ln
so,
= Integral ( 1/2 ln(x) / x ) dx , now use u = ln(x). and so forth..
but back to...
I've used "View an example" on the Pearson website for a Integral problem using substitution.
I understand the process the example had until I got to the end.
The problem is an indefinite integral
Integral [ ( ln sqr(x) ) / x ] dx
The answer came out to
( ln sqr(x) )^2 + C
The part I...
Thank you!!
And thanks for the challenge. When I do get some time I'll give it a shot. Now that I know the answer. I need all the practice I can get. I got a test on Thursday but got to finish up on homework first.
I am going to try and determine the derivative first. then input the r value after. I didn't realize i could of factored out the constant. I'll see if that helps me on my next approach. I'm working it out now.
Thank you for the suggestion
Well if continue as started. My lim is this big long expression. And I'm lost on how to simplify it.
So I will try to differentiate first as you suggested.
Thanks
What is the rate of change of the volume of a ball
V=(4/3)* π * r^3
with respect to the radius when the radius is equals=4?
The volume changes at a rate of?
(Type an exact answer, using pi as needed.)
So i started with
r = 4, insert into the equation.
V=(4/3)*pi*r^3
V= (4/3)*pi*(4)^3...
Thank you for your help. I now understand the problem and got the answer correct. i was going to input 1 but waited like you said proof read before submit. I wasn't sure on 1 as the answer so i waited till i was sure.
I was trying to simplify. The 7 with the denominator 14. so with out the cosine I was trying to simplify 7(-13*pi/14) so I that's how I got -13*pi/2. oops and I wrote -13*pi/7 in my earlier post.
I'm just thinking the answer is not in decimal form.
Thanks for your help.
Thanks for the replies and sorry for the typos
Stapel, Yes that's correct interpretation.
ok if I enter into calculator I get 0.8414.
It's my last attempt on the answer for the problem. Does 0.8414 sound right?
The requirement is to "Simplify your answer" Usually it will say up to 4...
This site uses cookies to help personalise content, tailor your experience and to keep you logged in if you register.
By continuing to use this site, you are consenting to our use of cookies.