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  1. P

    Double integral finding the area

    Oh I see what ive been doing now. When I evaluated theta at 0 I was getting -2. I forgot to multiply this by 1/2 which would have given me 3(pi)(-2+2)/2 or 3(pi)/2 for my final answer. Thank you so much for all of your help I was stuck on that problem for awhile. :smile:
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    Double integral finding the area

    I get (3(pi) + 2)/2
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    Double integral finding the area

    Homework Statement Use a double integral to find the area of the region bounded by the curve r= 1+sin(theta)? Homework Equations The Attempt at a Solution I can't figure out what theta is intregrated from. I've tried from -(pi)/2 -> +(pi)/2 and that doesnt work. I've also tried...
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    Find point d on the line l closest to point c

    Thank you for your assistance:biggrin:
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    Find point d on the line l closest to point c

    The point I picked on the line l for the parametric equation was not point (1,1,2)... So whatever point you pick on the line for your parametric equation is that your t=0 point? If I were to pick point (1,1,2) on the line l for the parametric equation then it becomes x=1+t u=1+2t z=2+3t...
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    Find point d on the line l closest to point c

    idk if you change it by one I guess you reach along the line one. I just don't know this stuff because we haven't covered it yet in class yet we have homework over it.
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    Find point d on the line l closest to point c

    oh sorry, the length between the vector and line l is 3.
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    Find point d on the line l closest to point c

    I know that the magnitude of the vector with the point c is 5. So using cos(36.7)=x/5 I get x=4 this is the length along line l. However this is in three dimensions so I thought that there was something else I had to do.
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    Find point d on the line l closest to point c

    Yes I know right triangles in two dimensions however this is in three dimensions. Thats what is confusing this for me.
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    Find point d on the line l closest to point c

    I just posted a better picture
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    Find point d on the line l closest to point c

    Homework Statement Find point d on the line l closest to the point c (1,1,7). Point c is on the end of a vector who's origin (1,1,2) is on line l. There is an imaginary line that connects point c to point d. This imaginary line is perpendicular to the line l. This problem is relating to...
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    What is the integral 1/x log(x) or lnx?

    ok thanks guyz I precciate ya!
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    What is the integral 1/x log(x) or lnx?

    ok thanks, When looking at more complex solutions sometimes there are many logx's how am I supposed to know which one is logx and which one is not really logx?
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    What is the integral 1/x log(x) or lnx?

    Homework Statement I know it is supposed to be lnx however I find something peculiar. When I integrate it in wolfram alpha they give the integral as log(x). What the heck is going on here!?! Homework Equations The Attempt at a Solution
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    Simple integration problem

    That was what it was. Thanks
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    Simple integration problem

    Nevermind it will take me 30 mins of wasted time to type out all that goodbye
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    Simple integration problem

    Homework Statement Find the area between f(x)=(x-1)^3 and f(x)=(x-1) on the interval from 0 to 2. Homework Equations The Attempt at a Solution Working it out Im using the top function minus the bottom function from 0 to 1 and then from 1 to 2. The graphs cross at x=0,x=1,andx=2...
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