lab bhattacharjee
Reputation
149,481
98/100 score
 Feb 4 revised $z^n=(i+z)^n$, solve for $z$ added 165 characters in body Feb 4 comment $z^n=(i+z)^n$, solve for $z$ @Dr.MV, that is clear from the last line Feb 3 comment I want to solve $\int \frac{2}{x^2(x^2+1)^2}dx$ Try setting $$x=\tan y$$ Feb 3 awarded Favorite Question Feb 3 answered Find $\lim\limits_{x\to 0}\frac{\sqrt[]{\cos x}-\sqrt[3]{\cos x}}{\sin^2 x}$ using Maclaurin series Feb 3 answered $z^n=(i+z)^n$, solve for $z$ Feb 3 comment What is the simplest way to show that ${(p-1)! \over (k)!(p-k)!}$ is an integer? Feb 3 answered How can I solve $\int \frac{3x+2}{x^2+x+1}dx$ Feb 3 answered quadratic simultaneous equation Feb 3 answered quadratic simultaneous equation Feb 2 comment Why are some solutions excluded if we simply multiply the denominator in an fraction inequality? @BogdanPop, $x=-2\iff3x-1<0$ For $3x-1<0$ $$\dfrac{2x-5}{3x-1}\ge1\iff2x-1\le-(3x-1)$$ Feb 2 answered Why are some solutions excluded if we simply multiply the denominator in an fraction inequality? Feb 2 comment Finding the square root of $6-4\sqrt{2}$ $$2^2+(\sqrt2)^2-2\cdot2\cdot\sqrt2=(2-\sqrt2)^2$$ Feb 2 comment Range of inverse harmonic mean of two integers Feb 2 answered Find the value of $x$ which is correct Feb 2 comment How to show that $(X-a)^+\le X^++|a|$ $$|-a|=|a|$$ and $$|x+(-a)|\le|x|+|-a|$$ Feb 1 comment Let $f(x)=p\cos x+q\sin x,|p|+|q|\ne0$ and $|f(x)|\leq 1$.Let $\alpha,\beta$ be the roots of the equation $f(x)=1,|\alpha-\beta|=k\pi,k\in R,$ What is the source of the problem? Feb 1 answered How to prove this? $\lim_{h \to 0} \frac{\sin(\theta+h)-\sin(\theta)}{\cos(\theta+h)-\cos(\theta)} = -\frac{1}{\tan(\theta)}$ Feb 1 answered Find the remainder when ${{5^5}^5}^5$ is divided by $24$ Jan 31 answered $f(x) - f'(x) = x^3 + 3x^2 + 3x +1; f(9) =?$