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4 questions
4
votes
2
answers
691
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Mathematica gives an unexpected answer for Integrate [closed]
I need to integrate the following:
\begin{equation}\tag{1}
\frac{\sqrt{C + (1 - C) x^3}}{x},
\end{equation}
where $0 < C < 1$ and $x$ is a positive variable (then $x^3 \ge 0$). When I integrate:...
1
vote
2
answers
105
views
How to ask Mathematica to rewrite the larger arguments of sine function as a smaller number which is multiple of $\frac{2\pi a}{11}$
I have a trigonometric function $Exp$ where $\{f,g,h,k\}$ are some parametric functions, and $a\in\mathbb{N}$ and $x>0$.
$$ Exp=f \cdot \sin \left(\frac{58 \pi a}{11}+x\right)+g\cdot \sin \left(\...
1
vote
0
answers
75
views
How can I ask Mathematica to give the explicit real form of the given function?
In part of my calculations, I obtain this expression which contains the imaginary unit I but I expect that this expression might be real (from the comments below, ...
0
votes
1
answer
61
views
Computing an exact range with FunctionRange
When using FunctionRange to compute the range of the two-argument ArcTan function, Mathematica fails to return an exact answer.
...