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Calculus
All levels of calculus from Calculus I through Differential Equations and beyond.
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How to integrate 1/x * 1/ln(x) dx by parts: I get: ∫1⁄x 1⁄ln(x) dx = ln(x) * 1/ln(x) - ∫ ln(x) (-ln^-2(x) * 1/x) dx = 1 + ∫ 1/ln(x) * 1/x dx => 0=1
usk
Mar 6, 2024
Replies
1
Views
219
Mar 6, 2024
BigBeachBanana
M
Telescoping series: I need to solve the sum from k=4 to infinity of (9/(k-1)^2) - (9/(k+2)^2)
MARTY122
Mar 5, 2024
Replies
4
Views
254
Mar 6, 2024
Dr.Peterson
P
Second order derivative
Pavi. vr
Mar 3, 2024
Replies
3
Views
147
Mar 5, 2024
Dr.Peterson
A
Area of polars help! find the area between the outer and inner loops of r = 1 + 2cos3(theta)
alyh
Mar 1, 2024
Replies
1
Views
111
Mar 4, 2024
Dr.Peterson
W
Question regarding the tangent line of a partial derivative and its graph?
watchintv
Feb 25, 2024
Replies
2
Views
148
Mar 4, 2024
Dr.Peterson
M
Need Help! "Your task is to determine which shape maximises the volume of water that can be held by a gutter of a fixed length of material."
Math student1324
Feb 23, 2024
Replies
2
Views
131
Mar 4, 2024
Dr.Peterson
C
Inquiry about rate of change of distance: angle sun makes w/ ground is increasing at 0.26* / min.
coooool222
Mar 2, 2024
Replies
4
Views
245
Mar 4, 2024
Dr.Peterson
B
Are my calculations correct a=dv/dt question (Find a = dv/dt, given v=2000−14t−0.006t^4 m/s)
boltonr100
Feb 29, 2024
Replies
3
Views
187
Mar 1, 2024
alyh
A
H
Am I on the right track? Integration by substitution: (1/2) int e^x (e^x - 5)(1 + 2e^x)^8 2e^x dx
HATLEY1997
Feb 26, 2024
Replies
8
Views
736
Feb 27, 2024
Steven G
I
Time Interval for Material Derivative: Does the definition of the material derivative include an indication of the time period under consideration?
I'mLearning
Feb 25, 2024
Replies
2
Views
243
Feb 27, 2024
I'mLearning
I
H
Integration: int (6x^2 + 4z + 2)/(x^3 + x^2 + x); I let u = x^2 + x + 1, du/dx = 2x + 1
HATLEY1997
Feb 22, 2024
Replies
10
Views
314
Feb 24, 2024
Steven G
L
Find the derivative of 3cos^-1(sqrt x)
Lalala
Feb 18, 2024
Replies
9
Views
327
Feb 19, 2024
mario99
M
S
Calculus problem: voltage across plates of charging capacitor varies with time according to v=10(1-e^{-0.25t})
Smykel
Feb 19, 2024
Replies
0
Views
114
Feb 19, 2024
Smykel
S
J
my professor said to use trigonometric substitution for int (ln^3 w)/(w sqrt(ln^2 w)) dw
Jurt
Feb 18, 2024
Replies
3
Views
172
Feb 18, 2024
BigBeachBanana
M
One to the power of infinity: I don't agree with her that 1^∞ is one of the indereminant forms
mario99
Jan 31, 2024
Replies
4
Views
358
Feb 18, 2024
mario99
M
R
Can someone please explain the solution to this functions question?
Raanikeri
Feb 15, 2024
Replies
11
Views
417
Feb 16, 2024
blamocur
C
Derivative for sin(x)/1+cos(x): Why is it 1/1+cos(x) but not -1/1+cos(x)?
coooool222
Feb 14, 2024
Replies
6
Views
348
Feb 14, 2024
Dr.Peterson
H
Optimisation: An ornamental container consists of a cuboid-shaped hole inside a sphere.
HATLEY1997
Feb 8, 2024
2
Replies
20
Views
1K
Feb 13, 2024
lookagain
L
G
Lagrangian function question: U(x,y)= ln(x) + 0.04ln(y), given the constraint x+(y/1.08)=20
g4kuchuu
Feb 12, 2024
Replies
0
Views
86
Feb 12, 2024
g4kuchuu
G
I
Partial Derivative multiplied by increment (How can I think of 'the size' of (f.e.) $\partial\,t$ relative to $\delta\,T$?)
I'mLearning
Feb 7, 2024
Replies
2
Views
287
Feb 8, 2024
blamocur
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