agentx5
 Name:
 Neil
 School:
 EKU
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Questions Asked

agentx5:
Is there a way to PROVE \(\int \frac{1}{x^2+1} \ dx = \tan^{1}x + C \) ?
I know this is from the integration tables, sure. But where doe…
 updated one year ago
 28 replies
 3 Medals
Mathematics

agentx5:
I need some help checking & evaluating this:
\[\huge\int\limits_{0}^{\infty}\frac{e^x}{e^{2x}+3}\ dx=[\frac{1}{\sqrt{3}}\tan^{1}(\frac{e^x}…
 updated one year ago
 21 replies
 1 Medal
Mathematics

agentx5:
Definitely could use somebody to help check my work, see why these answers are not being taken (homework, only a few points but I'm trying t…
 updated one year ago
 37 replies
 1 Medal
Mathematics

agentx5:
I could definitely use some help with the Trapezoid, Midpoint, and Simpson's rule (where n=6) for:
\[\large9\int\limits_{1}^{4}\sqrt{\ln \l…
 updated one year ago
 57 replies
 2 Medals
Mathematics

agentx5:
Could use some help knowing where to get started on this one, it looks a bit daunting:
\[\int\limits_{0}^{\pi} (4x + 9 \sin x)^2 dx\]
(don…
 updated one year ago
 34 replies
 1 Medal
Mathematics

agentx5:
Find the arc length (L) of
\[y^2=4(x+3)^3\]
for the closed interval [0,1] (that'll mean a=0 & b=1). Formula for arc length.…
 updated one year ago
 18 replies
 No Medals Yet
Mathematics

agentx5:
Can somebody please explain the proof that allows the formulation of the arc length formula from the Mean Value Theorem of Calculus? :)
 updated one year ago
 17 replies
 No Medals Yet
Mathematics

agentx5:
Need help with checking why my answer is wrong with this midpoint rule calculation for the following integral:
\[\large 4 \int\limits_{1}^{…
 updated one year ago
 3 replies
 No Medals Yet
Mathematics

agentx5:
Why is octanitrocubane (C\(_8\)(NO\(_2\))\(_8\)) more expensive than pure gold (by massformass)? Cyclotrimethylenetrinitramine (aka. RDX)…
 updated one year ago
 4 replies
 1 Medal
Mathematics

agentx5:
Having trouble with this one, particularly on after the trig substitution. What the heck are the bounds on the new integrand supposed to be…
 updated one year ago
 11 replies
 2 Medals
Mathematics

agentx5:
Find the volume V obtained by rotating the region bounded by the given curves about the specified axis. y = sin x, y = cos x, 0 ≤ x ≤ \(\fra…
 updated one year ago
 33 replies
 2 Medals
Mathematics

agentx5:
Find the volume V obtained by rotating the region bounded by the given curves about the specified axis.
y = sin x, y = cos x, 0 ≤ x ≤ \(\fra…
 updated one year ago
 10 replies
 No Medals Yet
Mathematics

agentx5:
Looking for a proof regarding ( particular between the 2\(^{nd}\) and 3\(^{rd}\) ):
\[sec(2A) = \frac{1+\frac{\sin^{2}A}{\cos^{2}A}}{1\fra…
 updated one year ago
 7 replies
 2 Medals
Mathematics

agentx5:
Integrating... (missing some kind of trigrelated trick here)
\[\int 5\cdot sin(8x)\cdot cos(5x)\cdot dx \]
…
 updated one year ago
 4 replies
 3 Medals
Mathematics

agentx5:
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified a…
 updated one year ago
 23 replies
 1 Medal
Mathematics

agentx5:
Integrate: (looking for substitution or substitution by parts method, I think I \(\pm\) sign went wrong somewhere in my work...
\[\huge \in…
 updated one year ago
 15 replies
 3 Medals
Mathematics

agentx5:
Can somebody please demonstrate what the substitution trick is for this?
\[\huge\int\limits \cos(\sqrt{x}) dx\]
(+1 medal for quality :)…
 updated one year ago
 29 replies
 3 Medals
Mathematics

agentx5:
Starting with this definite integral:
\[\huge \int\limits_{0}^{1} \frac{r^3}{\sqrt{25+r^2}} dr\]
…
 updated one year ago
 47 replies
 3 Medals
Mathematics

agentx5:
Having trouble finding the correct substitutions & tricks for this one:
\[\int\limits_{1}^{1} \frac{7xe^{2x} }{(1 + 2x)^2} dx\]
…
 updated one year ago
 6 replies
 4 Medals
Mathematics

agentx5:
(challenge) Proving the Product Rule for differentiation and integration:
Is there a way to visually demonstrate this as a proof? There ar…
 updated one year ago
 No Medals Yet
Mathematics

agentx5:
Finding the twosided limit of the following general form:
\[ \lim_{x→0} (1 − ax)^{1/x}\]
What's the trick here? A medal will be given fo…
 updated one year ago
 3 replies
 2 Medals
Mathematics

agentx5:
A cable that weighs 4 lb/ft is used to lift 850 lb of coal up a mine shaft 700 ft deep. Find the work done.
(looking just for the Riemann s…
 updated one year ago
 22 replies
 1 Medal
Mathematics

agentx5:
Suppose that 3 J of work is needed to stretch a spring from its natural length of 24 cm to a length of 38 cm.
(a) How much work is needed t…
 updated one year ago
 25 replies
 1 Medal
Mathematics

agentx5:
How is Technetium99 produced commercially for hospitals? Looking for the specific nuclear reaction equations with any ionizing radiation, …
 updated one year ago
 3 replies
 No Medals Yet
Mathematics

agentx5:
Evaluate the following
(a medal will be given to first with quality steps, don't need to show past the integration phase where you're subst…
 updated one year ago
 4 replies
 1 Medal
Mathematics

agentx5:
A variable force of
4x−2
pounds moves an object along a straight line when it is x feet from the origin. Calculate the work done in moving…
 updated one year ago
 25 replies
 2 Medals
Mathematics

agentx5:
Evaluate (medal given for steps shown ^_^)
\[ \huge \int_{0}^{1/4} \frac{sin^{1}(2x)}{\sqrt{14x^2}} dx \]
 updated one year ago
 3 replies
 1 Medal
Mathematics

agentx5:
Hmm, this one doesn't seem to be working out, so I'll pose it as a open question to anyone who wants to take a crack at it:
\[\huge \int\li…
 updated one year ago
 1 reply
 1 Medal
Mathematics

agentx5:
\[\huge \int\limits \frac {e^{8/x}}{x^2} dx\] = ? + C
(looking mainly for help with setup with tips & tricks; will give a medal :) )
 updated one year ago
 6 replies
 2 Medals
Mathematics

agentx5:
Find the limit (medal given for showing steps!):
\[\huge \lim_{x \rightarrow 1} \frac{5x}{x1}  \frac{5}{ln x} \]
(I keep getting ∞ even…
 updated one year ago
 8 replies
 4 Medals
Mathematics
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