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10h
revised Expansion of function in polar coordinates
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11h
revised Integral: $\int \frac{dx}{\sqrt{x^{2}-x+1}}$
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23h
revised Convergence of $\sum_{k=1}^\infty k\sin\frac1k$
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23h
revised Let $p^3+q^3=4$ and $pq=2/3$ . Find $p+q$.
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1d
revised How to compute $\sum\limits_{a=1}^{\infty}\int_0^b\lambda\left(\int_0^{\lambda}e^{-t}t^{a-1}dt\right)d\lambda$
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1d
revised Why $(10^ab+c)^{4d+1}-c \mid 10$?
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1d
revised Integral $\int_\tau^\infty e^{\frac{-g_m}{\bar\gamma_m}}\frac{dg_m}{1+Pg_m}$
deleted 64 characters in body; edited title
1d
revised Integral $\int_0^\infty \frac{e^{-cy} dy }{1+ay}$
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1d
comment show that $e=(\frac{2}{1})^{\frac{1}{1}}(\frac{4}{3})^{\frac{1}{2}}(\frac{6\cdot8}{5\cdot7})^{\frac{1}{4}}…$
Can you add some more details please
1d
revised show that $e=(\frac{2}{1})^{\frac{1}{1}}(\frac{4}{3})^{\frac{1}{2}}(\frac{6\cdot8}{5\cdot7})^{\frac{1}{4}}…$
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2d
revised how to evaluate the integral $ \int_0^{2\pi} \frac{\sin{nx}\cos{nx}}{\sin{x}}dx$?
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2d
revised convergence of $(1+\frac{1}{2})(1+\frac{1}{4})\ldots(1+\frac{1}{2^n})$
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2d
revised Simplify the sum $ \sum_{k=1}^{\infty} (\frac{1}{2})^kk $
customary index is k not x
2d
revised Last 2 digits of $2345^{369}$
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2d
revised $n \mid k^2 \land n+1 \mid l^3 \land n+2 \mid m^4 \to n=?$
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2d
revised $n \mid k^2 \land n+1 \mid l^3 \land n+2 \mid m^4 \to n=?$
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2d
revised How do I evaluate $\int \cot^2x$?
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2d
comment Where can I find a text with this result?
I might have seen in it in the Spivak's Calculus, but I am not sure, that was 25 years ago.
2d
revised $\int\limits_{a}^{b} f(x) dx = b \cdot f(b) - a \cdot f(a) - \int\limits_{f(a)}^{f(b)} f^{-1}(x) dx$ proof
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Jan
25
comment Prove the limit as $x$ approaches $0$, $\frac{\sin(x)}{x}$ approaches $1$ using the epsilon delta definition
What is $\sin x$ without taylor series?