All Questions
Tagged with wolfram-alpha-queries calculus-and-analysis
18 questions
1
vote
4
answers
199
views
Can Mathematica solve $\int \frac{\cot^2\left(\frac12\sec^{-1}(x)\right)}{\sqrt{\tan\left(\frac12\csc^{-1}(x)\right)}} \, dx$?
Can Mathematica solve integral $(1)$?
$$\int \frac{\cot^2\left(\frac12\sec^{-1}(x)\right)}{\sqrt{\tan\left(\frac12\csc^{-1}(x)\right)}} \, dx.\tag{1}$$
This is
...
2
votes
2
answers
166
views
Wolfram|Alpha is unable to evaluate this improper integral
I want to solve this integral
$$\int_{0}^{\frac{\pi}{2}} e^{-(\pi \tan(x) - 1)^2} \, dx$$
I tried Wolfram alpha but it is unable to evaluate
I tried this code
...
- 149
2
votes
1
answer
110
views
Why does Wolfram|Alpha give inconsistent result for $\int_0^\infty \frac{e^{x-x^2}-e^{-x-x^2}}{x}~dx$? [closed]
Why Wolfram gives inconsistent result for :
$$I=\int_0^\infty \frac{e^{x-x^2}-e^{-x-x^2}}{x}~dx$$
As shown in the picture below, the analytical integration gives $-i\pi$, but numerical integration ...
- 183
0
votes
2
answers
122
views
Integral of the Poisson Kernal [closed]
I wish to solve the following definite integral:
$\int^{b}_a P_r(\theta-\phi) d\phi$
,where $P_r(\theta-\phi) = \frac{1-r^2}{1 + r^2 -2r cos(\theta - \phi)}$ is the Poisson kernel. This is something ...
- 111
0
votes
0
answers
286
views
Wolfram alpha query works online but not through mathematica?
Bit of a bizarre problem I'm having (well, more a question than a problem). I am trying to solve an integral, which I queried using the online wolfram alpha website. The input and output are ...
- 103
1
vote
0
answers
676
views
Calculating double integral bounded by domain in Wolfram Alpha Notebook [closed]
If I want to compute Double Integral on a given region(See attached Picture)
How can I input this on Wolfram Alpha Notebook
- 19
0
votes
1
answer
1k
views
step-by-step solution unavailable (( possible intermediate steps ))
When using the (( WolframAlpha["integrate 1/(2+Sqrt[1-x]+Sqrt[1+x])"])) function to find integration steps, this message appears to me what is the explanation and ...
- 1,116
2
votes
0
answers
2k
views
Step by step solution of a limit of a sequence - Calling Wolfram|Alpha in Mathematica
I'd like to visualiza the step-by-step solution of the following limit by calling Wolfram|Alpha in Mathematica, but I don't know how to specify that n is a positive integer variable:
...
- 959
2
votes
1
answer
257
views
WolframAlpha does not give stepwise solution for a simple twodimensional integral
Why does the behave this particular way:
...
- 4,126
5
votes
1
answer
299
views
Confusion in finding the definite integral
So, I'm new to Mathematica. I tried evaluating the following definite integral. However the answer i get from wolfram alpha & mathematica are different.
Can someone please point out what I'm ...
2
votes
0
answers
76
views
WolframAlpha robustness
I am experiencing return values of Missing[NotAvailable] from WolframAlpha[], about 10% of the time. For some reason, this seems ...
- 1,225
2
votes
1
answer
719
views
Improper Integration Step by Step
I am trying to obtain the step-by-step analysis of the integral $\int _{ 0 }^{ \infty }{ { y }^{ 3 }{ e }^{ -\frac { y }{ N } }dy }$ by calling Wolfram Alpha:
...
- 23
4
votes
3
answers
771
views
Error with Wolfram Alpha
I tried evaluating the following limit with WA, but I got a wrong answer. The limit is: $$\lim_{n\to\infty}\left|
\frac{n\sin^2(n+1)}{(n+1)\sin^2(n)}\right|$$
The result that I obtained from WA was $0$...
- 560
1
vote
1
answer
126
views
About taking limit of an integral on Wolfram Alpha/Mathematica [closed]
I tried computing this quantity on Wolfram Alpha, but I couldn't get any answer:
...
- 1,191
0
votes
0
answers
74
views
Solving Integral -syntax or interpretation problems
WA interpreter achievement not well this entry from Mathematica, steps need to see the full resolution
input WA
...
- 309
16
votes
1
answer
338
views
Is it a bug in Limit?
Bug introduced in 9.0 and fixed in 10.0.0 and reintroduced in 11.2
Mathematica 9 on Windows and WolframAlpha says
...
- 6,866
0
votes
1
answer
4k
views
Second derivative implicit differentiation using Wolfram Alpha input?
How would you perform second derivative implicit differentiation using Wolfram Alpha input? The reason that I'm using WA input is that it gives you step-by-step solutions and I'm a first year ...
- 163
20
votes
5
answers
4k
views
Mathematica gives wrong result while Wolfram|Alpha is correct
Why does Mathematica and Wolfram|Alpha give different results based upon the same code?
I know Wolfram|Alpha's 7.85 is correct.
- 203