Recent content by jrmed13

Homework Statement integral (from 0 to 1) of (lnx)dx/(x^0.5) Homework Equations I did u-substitution and got the antiderivative to be 4ln(sqrt(x)) - 4sqrt(x) The Attempt at a Solution The answer that I got was that the limit of the antiderivative (as t approaches 0 from the...

THANK YOU SO MUCH! (I got the answer :D)

Integrating Natural Log Function using "Integration by Parts" Method Homework Statement The problem says to integrate ln(2x+1)dx Homework Equations I used u=ln(2x+1); du = 2dx/(2x+1); dv=dx; v=x The Attempt at a Solution So, I integrated it using that (above) 'dictionary' and I...

Oh waiiiiiit never mind I found it in my reference page (integral of du/(x^2 + a^2) = blahblah. Cristo, thank you so much - you are amaaaaaaaaaazing and although I did cry over this problem for about ninety minutes, I have learned a bunch and I am going to memorize some of these integrals...

I mean that integral instead of derivative

Wait, what? I don't follow - I have never seen that before in Calculus I (I'm in Calc. II right now) And what about the 9?? That derivative is for x^2 + 1, not x^2 + 9

sorry for my constant refrain of complaining, but I already tried that and couldn't figure out how to integrate (u^2 + 9)^-1... I know it involves something with ln(u^2 + 9), but I couldn't get that to work either!

How?? I tried that million times and I couldn't get the right answer! Here's what I tried u=e^7x du=(7e^7x)dx so then the integrand (that's what the thing being integrated is called, right?) becomes (u/(u^2 + 9))*du/(7e^7x) that doesn't work!

I know that.. but how do I work from there? The problem with "e" is that its derivative is different than integrating something like x^2

Homework Statement So, I have to integrate the following expression: (e^7x)/(e^(14x) + 9)dx Homework Equations We are doing the section on 'integrating by u-substitution' right now, so that might help in finding a solution... The Attempt at a Solution So, I tried a bunch of...

hm... Okay, so maybe I should make my question more clear... here goes... The problem: The Daytona International Speedway in Daytona Beach, FL, is famous for its races(blahblahblah)... Both of its courses feature four-story 31.0degree banked curves, with maximum radius of 316m. If the car...

URGENT! test on monday! (banked road problem) Okay, so I am doing a problem involving a car driving on a banked, frictionless, circular track (theta=31degrees) and i am supposed to find the maximum velocity that the car can drive. I know that to find the velocity, i have to find the centripetal...

Okay, so I am doing a problem involving a car driving on a banked, frictionless, circular track (theta=31degrees) and i am supposed to find the maximum velocity that the car can drive. I know that to find the velocity, i have to find the centripetal acceleration by saying that (mv^2)/r =...

Help! Okay, so I am doing a similar problem involving a car driving on a banked, circular track (theta=31degrees). I know that to find the centripetal acceleration, I am supposed to say that (mv^2)/r = nsin(theta). Then, I have to solve for n by saying that ncos(theta)=mg. However, I am...