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awarded  Nice Question
Apr
26
comment Anti-Derivative of $\ln(x^2 + 7)$ is kicking my butt, can anyone help?
Investigate $\int \ln x $ first.
Apr
18
comment Are all numbers expressible as a complex number?
Not sure what you mean exactly, but there are the Quarternions $\mathbb{H}$ and the Octonions $\mathbb{O}$.
Apr
8
revised Can a change of variable result in the evaluation of an integral in terms of elementary functions, whereas before the c.o.v. this was not possible?
spelling mistake
Apr
8
revised Integration demonstration on my Calculus exam
Updated Latex - please check this still states what you originally meant.
Apr
3
comment Minimising the length of the vector $r(t) = \sqrt{2}\sin{t}\mathbf{i}+\cos{2t}\mathbf{j}$ for $t \in (0, \pi/2)$
Differentiate the magnitude, set to zero and solve. Second derivative may be required to decide min/max.
Mar
31
comment Finding $\int \frac{e^x\left(-2x^2+12x-20\right)}{x^3-6x^2+12x-8}dx$
Partial fractions is the way to go. Yes it involves the $Ei(x)$ function, but the total sum of these terms cancels to zero, leaving the single term you require.
Mar
31
comment Finding $\int \frac{e^x\left(-2x^2+12x-20\right)}{x^3-6x^2+12x-8}dx$
Maybe partial fractions? Or can the numerator be factorised?
Mar
29
comment Why are mathematicians so interested in finding out the gaps between primes and the distribution (randomness) in primes?
For interest/fun: the $n$-th prime number $p_n\sim n\log n$.
Mar
27
answered What books should I get to self study beyond Calculus for someone about to start undergrad mathematics?
Mar
25
comment Comparing infinite values
In that case you don't deserve a downvote!
Mar
25
comment Comparing infinite values
This is not the whole expression under investigation (ps I did not downvote)
Mar
21
revised Can a change of variable result in the evaluation of an integral in terms of elementary functions, whereas before the c.o.v. this was not possible?
added 599 characters in body
Mar
20
accepted Can a change of variable result in the evaluation of an integral in terms of elementary functions, whereas before the c.o.v. this was not possible?
Mar
20
comment Can a change of variable result in the evaluation of an integral in terms of elementary functions, whereas before the c.o.v. this was not possible?
To clarify, the integral $I$, i.e. the primitive $F$ of $f$, is not elementary in the question.
Mar
20
revised Can a change of variable result in the evaluation of an integral in terms of elementary functions, whereas before the c.o.v. this was not possible?
added 4 characters in body
Mar
20
asked Can a change of variable result in the evaluation of an integral in terms of elementary functions, whereas before the c.o.v. this was not possible?
Mar
18
revised I need to solve $\phi (x,y) = \frac{2V}{\pi} \int_{0}^{\infty} \frac{\sin(kx)\cosh(ky) dk}{k\cosh(ka)}$
added 156 characters in body
Mar
16
comment Find a succinct problem whose solution requires methods from many sub-branches of mathematics
Check out this, particularly near the end. There are mentions of the different areas of Mathematics used in Wiles' proof: vimeo.com/18216532
Mar
15
answered Absolute value of complex number