Jonas12

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Undergraduate Mathematics And Computer Engineering

33 Questions

 4 How can I find integers $n \gt 1$ such that the average of $1^2,2^2,3^2…n^2$ is itself a perfect square. 3 Show that $p$ is prime if the following limit property holds 3 How do I evaluate the integral $\int \frac{1}{x\sin x}dx$? 3 Find $a,b\in\mathbb{Z}^{+}$ such that $\large (\sqrt[3]{a}+\sqrt[3]{b}-1)^2=49+20\sqrt[3]{6}$ 3 if $\log_xa+\log_ya=4\log_{xy}a$ prove that $x=y$

490 Reputation

 +5 How to solve an inhomogenous PDE using Fourier Transform +3 Find $\gcd (a,2^a)$ for all $a\in \mathbb{Z_+}$ +25 Find the value of $\sec x$ using knowing that $9\sin x + 40\cos x = 41$. +5 How to make Dirichlet character table modulo $5$

 2 Why is $\int(1+x^2)^4\mathrm dx$ not equal to $\frac{(1+x^2)^{5}}{5(2x)}+C$? 2 Do these two sequences converge to same limit? 1 Find the value of $\sec x$ using knowing that $9\sin x + 40\cos x = 41$. 1 Question about $T_n = n + (n-1)(n-2)(n-3)(n-4)$ 1 Show that $(y-2x+3)^3=(y-x+1)^2$ is a solution of the differential equation $(2x-4y)dx+(x+y-3)dy=0$

61 Tags

 2 calculus × 12 1 trigonometry × 2 2 real-analysis × 2 1 arithmetic-functions 2 indefinite-integrals × 2 0 number-theory × 13 1 integration × 5 0 elementary-number-theory × 6 1 sequences-and-series × 5 0 differential-equations × 6

15 Accounts

 Mathematics 490 rep 211 Ebooks 116 rep 3 Stack Overflow 101 rep 4 TeX - LaTeX 101 rep 1 English Language & Usage 101 rep 1