User infinite-blank- - Physics Meta Stack Exchange

infinite-blank-

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7

How to deduce this factorization of $x^5+x+1$ by looking at $\int\frac{3x^4+2x^3-2x+1}{x^5+x+1}dx$?

6

Calculate the value of $I(9)/I(3)$ when $I(m)=\int_{0}^{\pi}\ln\left(1-2m\cos(x)+m^2\right)\,dx$

6

Finding the number of ways of arranging $2n$ white and black balls each such that no $n$ consecutive white balls are together

5

How to calculate the integral $\int\limits_{-10}^{10}\frac{3^x}{3^{\lfloor x\rfloor}}dx$?

5

How to solve given differential equation $(x^3y^3+x^2y^2+xy+1)ydx+(x^3y^3-x^2y^2-xy+1)xdy=0$?