the integral from 0 to lnx of lnx/(x^1/2) thanks!
2,410 results
Calc
If y=tanu, u=v(1/v), and v=lnx. What is the value of dy/dx at x=e?

calculus
if dy/dx= (1+lnx)y and if y=1 when x=1, then y=

Calculus
Find the minimum distance between the curves y=e^x and y=lnx. Hint: Use the fact that e^x and lnx are inverse relationships. I have no idea where to start. Thanks! calculus  Reiny, Monday, January 18, 2016 at 9:02pm to get you going: let P(a , e^a) and

Calculus check and help
Let R be the region bounded by the curves y=lnx^2 and y=x^24 to the right of the yaxis. A. Find the area of R. B. Find the folume geneated when R is rotated about the line y=4. C. Write, but do not evaluate the integral expression that gives the volume

Calculus
Evaluate the function below from x = 1 up to x = 4. ∫(7−lnx(x)(3+lnx))dx

calculus
sorry to ask a second question so soon, but i'm just not getting this one. if f(x)= 3x lnx, then f'(x)=? i used f'(x)=3x(D lnx) + D (3x) (lnx) f'(x)=3x (1/x) + 3 (lnx) so... f'(x)=3+3lnx or 3(1+lnx). unfortunately that isn't one of the possible answers

Calculus 2
If n is a positive integer, prove that integral[(lnx)^ndx=((1)^(n))*n!](lower limit=0, upper limit=1) Thanks Again,

Pre calc
.5ln(x+3)  lnx=0

Calculus
lnx+ ln (x+3)= 2ln2

Calculus Please Check my answer
Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 1, and x = 1 is revolved around the line y = 1. ANSWER: v = ∫[1,e] π(4(lnx+1)^2) dx

You did letter B for me, can you check my work?
if f(x)=lnx, g(x)=e^3x, and h(x)=x^4 find following A)(f of g)(x)and the domain of f of g B) (g of f)(x) and the domain of g of f C) (f of h)(x) and the domain of f of h A) f(g(x)) =lnx(e^3x) domain x>0 C)f(h(x)) =lnx(x^4) x>4

Math
lnx+ln(x+3)=2

math
I am suppose to simplify the following problems: sqrt(x)/x (isn't that already simplified?) e^(1+lnx) (I have no clue.) ln(1/2) (I know this problem translates> e^x=1/2> but how would you solve it w/o a calculator?) e^(3lnx) ([e^(lnx^3)]> is it equal

math: precalculus
Let u=lnx and v=lny. Write the expression ln3√x/2y in terms of u and v. For example, lnx^3y=lnx^3+lny=3lnx +lny= 3u+v.

Calculus
Find the derivative of y with respect to x. y= [(x^5)/5]lnx[(x^5)/25] How would I go about doing this? Should I use the product rule to separate (x^5)/5]lnx ?

Math
Find all vertical and horizontal asymptotes for the graph of y=lnx/lnx1

calculus
dy/dx=(1+Lnx)y and if y=1 when x=1, then y=? i know i have to find the integral by multiplying dx to the other side and bringing y to left. and i got Ln(y)+ C = x + 1/x + C what do i do next. ln(y)=x+1/x+c e^(ln(y))=e^(x+1/x+c), so y= e^(x+1/x+c) y=

MAth
1/2ln(x+3)lnx=0

math
If y = u+ 2e^u and u = 1+lnx, find dy/dx when x= (1/e) ?

pre calc
lnX + ln2 = 3

Calculus
How do we integrate 1/lnx.

Logarithm
Ln2+Lnx=1

L'Hopital's rule
Find lim x>1+ of [(1/(x1))(1/lnx)]. Here is my work... =(lnx(x1)) / ((x1)(lnx)) =(lnx1) / (lnx+ (x+1)/x) This becomes(1/x) / ((1/x)+(1/x^2)) which becomes 1/ (1/x^2) This equals 1/2. I understand the answer has to be 1/2, but I am having trouble

Calculus
what is the limit as h approaches 0 of ((x+h)^pix^pi)/h? Multiple choice answers: A: lnx B: lnx (x^pi) C: Pi lnx D: (pi^2) ln (x^2) E: (pi^x) lnx I know this is d/dx x^pi, or Pi x^(Pi1)

calc
integral of 1 to e^4 dx/x(1+lnx) 1+lnx = a => dx/x = da dx/ x(1+lnx) = da/a int of da/a = In(a) =>int of dx/ x(1+lnx) = In(1+In(x)) + C from 1 to e^4 for int of dx/ x(1+lnx) = In(1+In(1))  In(1+In(e^4)) In(1+In(1))  In(1+In(e^4)) = In(5) =~ 1.60944 I

calculus
how do you determine the convergence of : definite integral from 1> infinity of lnx/(x^3)? i set the problem as lim (R>infinity) of the integral of lnx/(x^3) from 1>R, but i can't compute the integral.

Calculus
I don't know if I did these problems correctly. Can you check them? Use Integration by parts to solve problems. integral x^3(lnx)dx u=lnx dv=x^3dx du=1/x v=x^4/4 Answer:(x^3)(lnx)(x^4/16) integral xcosxdx x cosx 1 sinx 0 cosx Answer: xcosx+cosx integral

Calculus 1
Find the derivative of y with respect to x. y=(x^6/6)(lnx)(x^6/36) So far this is what I've gotten: y=(x^6/6)(lnx)(x^6/36) y=(1/6)x^6(lnx)(1/36)x^6 y'=(1/6)x^5(1/x)+lnx(x^5)(1/6)x^5 What do I do now?

Calculus
Evaluate the definite integral. dx/(x*sqrt(lnx)) from 1 to e^4 I'm having trouble figuring this out, I might be overthinking it. The way I've approached this is by using u substitution and letting u=lnx. I keep getting the wrong answer though. Help is

Math
Find the coordinates of the turning point and determine wether it is minimum or maximum. y=xlnx2x The answer in the book says the coordinates are (e,e), the closest I have come is (1/lnx,1/lnx) which works if 1/lnx=e, but I don't think that it does.

Calculus
Find the derivatives, dy/dx for the following functions. a. x^2y^4 = lnx + 3y b. y = ln(2x^2 + 1) c. y = ln(ãx) d. y = lnx/x e. y = x^2 lnx f. y ß log_2(3x)

calculus
(a) find the intervals on which f is incrs or decrs. (b) find the local min/max values of f. (c) find the intervals of concavity and the inflection points. f(x)=(lnx)/sqrtx I took the derivative and got 2lnx/2x^3/2 take the values when f'(x) >0 I get

Calculus (improper integrals)
the integral from 0 to lnx of lnx/(x^1/2) thanks!

College Calc
Problem: y=sqrtx ^1/x. Find DY/DX. ln(f(x))=lnx^1/2x or lnx to the 1/2x 1/2x lnx product rule (1/4x^2)(lnx)+(1/x)(1/2x) is the product rule correct? What do i do after this product rule?

math
how would you solve for y in this problem: ln(y1)ln2 = x +lnx ln(y1)ln2 = x +lnx Solve for y... ln[(y1)/2]]=x + lnx take the antilog of each side (y1)/2= e^(x+lnx) solve for y.

math
How do I find the derivative of ⌠lnx ⌡π cos(e^(t))dt The question above is asking for the derivative of the integral cos(e^(t)) from pi to lnx

Math
I cant figure this question out. I could use some help. Solve for x lnxlnx^2+ln5 = 0 Simplify the answer

Logarithms
lnx^5  lnx^2 = 3 solve for the unknowns as a list. I tried using my calculator but apparently my answer is opposite ends of the universe

calculus
Find the minimum distance between the curves y=e^x and y=lnx. Hint: Use the fact that e^x and lnx are inverse relationships. I have no idea where to start. Thanks!

CALC
i still need help on this...integrate (2)/(xln^4(x) dx...should i be using substitution ...if yes then wut should i substitute? plz help me..thanks in advanced! at is wrong with u= 1/x and dv= dx/ln^4(x) ? remember d/dx (lnx)^n= (n/x)*lnx)^(n1) okey

Math logs
Solve the system of equations: y= (lnx)^2 + 2 (lnx^2) y = 3ln(1/x^2)+24 Im not sure what to do..

calculus
find dy/dx 1. y=(lnx)^3 2. y=x^4lnx 3. y=sin^3(lnx)

Calculus  Verification
Hello, I just wanted to verify this definite integral and if my answer is good: a = 1 and b = 4 integral of (1  1/x^2)(x^2 + 1/x) dx = (x + 1/x)(x^3/3 + lnx) + C (4 + 1/4)(64/3 + ln4)  (1 + 1)(1/3 + ln1) = 96.56  0.6666 = 95.89 THank you

calculus
1. e^ln3  2lnx 2. 2(lnx)^2 + lnx  1 =0 3. d/dx (e^x . e^e^x)

Calculus Inegral
integral of x/lnx

Calculus
integral[1,e^9]dx/x(lnx)^1/2

Calculus
Evaluate Integral of (lnx)^4/x dx when b is E and a is 1

calculus
integral from 1 to e^5 1/(x(sqrt4+lnx))dx

Calculus
5) Evaluate the definite integral. On the integral from 1 to e^7 ∫dx/x(1+lnx)

Calculus
5) Evaluate the definite integral. On the integral from 1 to e^7 ∫dx/x(1+lnx)=?

Calc 2
a. Integral (x^2)/(sqrt(1+(x^2))) Would I separate these two into 2 separate integrals? Like: Integral of x^2 and the other integral of 1/sqrt(1+(x^2)) b. Integral (x^7)/(ln(x^4))dx Do I use integration by parts for this? I put u= lnx du = 1/x dv = x^7 v =

calc
is the integral of the square root of x*ln(x) =(2/3 x^(3/2))(lnx2/3) ?

math
find the value of the definite integral from 1 to 3 of (lnx/x) dx.

Calculus II
Evaluate using usubstitution: Integral of: 4x(tan(x^2))dx Integral of: (1/(sqrt(x)*x^(sqrt(x))))dx Integral of: (cos(lnx)/x)dx

math: precalculus
Let u=ln and v=ln y. Write the expression ln(5√(x3√y)) in terms of u and v. for example, lnx^3y = lnx^3+lny = 3lnx+lny = 3u+v

CALCULUS
USE INTEGRATION BY PARTS TO FIND EACH INTEGRAL ƪx^5 Lnx dx

calculus
USE INTEGRATION BY PARTS TO FIND EACH INTEGRAL ƪãx lnx dx

calculus
how do you solve the integral of 1/[(square root of x)(lnx)] from 2 to infinity? i did the p integral theorem with 1/square root of x and got it to be a divergent integral. however i was told this was the wrong way and that i should do it by integration

calc
f(x)=3x^ln(x), find f '(9). i can't find the answer :( I got 3x^lnx(((ln(lnx))/x)+ 1/lnx)

cal
USE INTEGRATION BY PARTS TO FIND EACH INTEGRAL ƪsquare rootx lnx dx

Math (Calculus)
Can somebody solve this logarithm problem step by step for me please: 2(lnx)² + lnx1 = 0 First let y = ln x be a new variable, , and solve the polynomial 2 y^2 + y  1 = 0 2(y +1)(y  1/2) = 0 Solutions are y = 1 or +1/2 Thus x = e^y and x= 1/e =

CALCULUS II
Hi, I needed help with this improper integral. lower limit : 2 upper limit : infinity integral of (lnx)/(x+1) dx Thank You so much :D

Math PLZ help me
Hi, I needed help with this improper integral. lower limit : 2 upper limit : infinity integral of (lnx)/(x+1) dx Thank You so much :D

Math
Hi, I needed help with this improper integral. lower limit : 2 upper limit : infinity integral of (lnx)/(x+1) dx Thank You so much :D

calculus
The volume of a solid is given by V=pi x^2(lnx)^2. what is the approximate change in the volume when x is increased from 2.718 to 3.000? dv= PI 2x(lnx)^2 dx + Pix^2 *2lnx * 1/x reduce that. For x, use 2.718 dx= 32.718 check my thinking.

Calculus
solve: 14. ln(1/x) = 2 16. lnx + ln(x+2) = ln(x+6) 22. ln(lnx) = 1

Calculus
Solve for x if 5+lnx=14/lnx.

math
solve: x lnx  30 + 5 lnx  6x = 0

integration
How do you integrate ; ln(lnx) and x/lnx

Calculus
Find the limit as x approaches infinity of (lnx)^(1/x). This unit is on L'Hopital's rule. I know that the answer is 1, I just don't know how to get there. I tried taking the ln of everything so that you have ln(the whole limit) = limx>infinity

Calculus
I don't know how to do the integral of e^(lnx^2)dx and the integral of (sin sqrtx)/(sqrtx) dx

calculus
The limit as x approaches infinity of (e^x+x)^(1/x). I got that it diverges, but I'm not sure if I made a mistake. My work: lim(e+x^(1/x)) lim(e+(1/x^x)) lim(ex^x+1)/x^x l'hopital:lim(e^(e(lnx+1))+1)/e^(lnx+1) diverges?

calculus
Suppose f is a function of x. 1) find d/dx f^2 2)use the result to find the integral ∫ lnx/xdx. I did 1), and I got 2fdf, but im confused about number 2.

Calculus
L'Hospital's Rule Lim(lnx)^(x1) x>1+ This is what I did so far... Form: 0^0 ln(lnx)/ (1/x1)  I am not sure if you could use L'Hospital Rule (as stated in the instruction)for the 2 problems below: lim

math
Can someone please double check my answers. 1. What pattern does the logarithmic function exhibit? a. y = b+a(lnx) b. y = a+b(lnx) c. y = ax+b d. y = axb I think A and B both look right..I just went with B. 2. Let f(x) = log6x and g(x) = log1/2x. For all

Math
Can someone please double check my answers. 1. What pattern does the logarithmic function exhibit? a. y = b+a(lnx) b. y = a+b(lnx) c. y = ax+b d. y = axb I think A and B both look right..I just went with B. 2. Let f(x) = log6x and g(x) = log1/2x. For all

math help
(x^2+lnx)(2+e^x)

math
x lnx  30 + 5 lnx  6x = 0

Calculus
Let f(x)=(lnx)^4 f'(x)=4(ln(x))^3/x what is f'(e^2)=?

Calculus
Let f(x) = 3(x^6)lnx. f'(x)= ...

Calculus
f(x)=6x^34x then d/dx(f(lnx)) =??

calculas
lnx^10+ lnx^9 + …….lnx=10+9+8+…..1

Pre Calculus 1
lnx + ln(x+3) = 2

calculus
f(x)=[lnx]^5

Calculus
dy/dx= (y^2 1)/x 1. Give the general equation of the curves that satisfy this equation. 2. Show that the straight lines y=1 and y=1 are also solutions. 3. Do any of the curves you found in 1) intersect y=1? i started by dy/(y^2 1)= dx/x and found that

calculus
solve for x: a)e^x=5 b) lnx=2

math
what's the derivative of: y = 2^x(lnx)

Calc
If f(x)=6x^34x then d/dx(f(lnx)) would be what equation?

math
ln(y+1)+ln8=x+lnx

Math
.5ln(x+3)lnx=0 Thanks for any help!!! :)

math
solve 2x lnx + x = 0

Calc
f(x) (x^2+lnx)(2+e^2) derivative also, f(x)= (3x+x^4)^(3/2)/(7x^21)

calculus
why is the derivative of f(x)= e^lnx f'(x)=1?

math
y=sin^3(lnx)

calculus
find f'(x) 4x^2 lnx

math
1/7[4ln(x+9)lnx(x^225)]

math
lnx monotonicity

pre calc
lnX + ln2 = 3

Math
Can someone explain lnx^(1/5)?

CALCULUS 2!!! PLEASE HELP!!
I'm having trouble with this question on arc length: y=lnx, (squareroot)3/3 greater than or equal to x less than or equal to 1 It sounds as if you want the length of the y = ln x curve from x = sqrt(3)/3 (0.57735..) to 1. The formula for the arc length of