Intergration Definition and 65 Threads

kay I am having difficulties with this.. Knowing the gerneral formuala of |uv'=uv- |vu' i using a nonehomework question i was trying to make sure i had it down pat was having problems.. | x cos 5x dx but for some reason i don't get the right answer when it done... If I have u=x...

EDIT: my tex is a little broken trying to fix So i want to intergrate \int (1 - x^2)^\frac{1}{2} dx i start off by saying \sin u = x so \frac {dx} {du} = \cos u then \int (1 - x^2)^\frac{1}{2} \cos u du which is \int \cos^2 u du...

I need to find the integral of (x^2) 2 (secx)^2 tanx dx said aloud: x squared times by two times by sec squared x times by tan x I tried to use the [tex] function but failed misserably, hope you understand what i mean from what I've written above.

kay doing Cylidical Shells and what not. given y=sin(x^2) from x=0..sqr(pi) and rottated around the y-axis. I use the forumla for intergration V=2(pi)x F(x) d(x) i get when i subsitute 2(pi)x Sin(x^2) d(x) I know since 2(pi) is constan i pull it through the intergral. Can I...

For example Intergrate (uv dx)=? Intergrate (u dx/v)=? Intergrate (u^v dx)=? Intergrate (log_u v)=? Where u and v are the function of x. Is there any method in intergration just like dy/dx=(dy/du)(du/dx) in diffrentiation?

The question is to find the following intergal: \int x\cdot u^{\frac{1}{2} where u = 2x -1. = \int x\cdot u^{\frac{1}{2}} \;\; \frac{1}{2} du u = 2x -1 \Rightarrow x = \frac{u+1}{2} = \int \frac{1}{2}(u+1)\cdot u^{\frac{1}{2}} \;\; \frac{1}{2} du \;\; = \int \frac{1}{4}\left(...

URGENT help with intergration im doing some coursework where I am investigating ways of finding the area under a graph and i don't really understand intergration. please could someone explain it really thoroughly, id really appreciate it. thank you in advance to anyone who can help.

The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve y=0.6 x^2 and below the line y= 164 . (Here, distances are measured in meters.) The water level can be assumed to be at the top of the dam. Find the force (in Newtons) exerted...

Hi i am completely stuck on a intergration problem, i have tried substition, and every technique i can think off but i cannot solve it. It is a improper intergral and the answer is pie/4 The question is: find the intergral with limits upper pie/2 and lower 0 1/(1+(tanx)^sqaureroot...

Here is a stupid question How would you solve for \frac{d^2r}{dt^2}=G\frac{M}{r^2} I'm new at this stuff, can anyone tell me?? Assume G and M are constants

i need to intergrate this function \frac{2mdx}{cx^2} from x to 0

i have a force acting on and object and I've gotten the question down to when i have to intergrate but I'm stuck on the intergral F=-(f+cv^2) m \frac{dv}{dx} \frac {dx}{dt} = -(f+cv^2) f and c are constants mvdv=-(f+cv^2)dx \frac{mvdv}{f+cv^2}=-dx now how do i intergrat them from...

I'm stuck on this one problem. If anyone can aid me, I would greatly appericate it. http://home.comcast.net/~personalcomp1/Impossible_calc_problem.JPG I scaned in the problem sooo there's the place to view it. Thanks

I have two problems that deal with writing an equation in slope-intercept form of a line that satifises certain conditions. Two of such problems my teacher has given me, I have no idea where to start in how to put the conditions in an equation. Can anyone help me in finding out on how to do...

help wat is mean by trigonometric substituations? how do i use it/? thx