# Ashish Gaurav

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bio website agaurav77.github.io location India age 19 member for 1 year, 10 months seen yesterday profile views 82

CSE sophomore at BIT Mesra, Ranchi.

# 22 Questions

 6 Need a hint to evaluate the indefinite integral $\int\frac{e^x(2-x^2)}{(1-x)\sqrt{1-x^2}}dx$? 6 Show this equation has at least one root in $(0,1)$ 5 If $f(\frac{x}{y})=\frac{f(x)}{f(y)} \, , f(y),y \neq 0$ and $f'(1)=2$ then $f(x)=$? 4 finding $\lim_{n\rightarrow\infty}\sum_{r=1}^{n}\arctan\left(\frac{2r}{1-r^2+r^4}\right)$ 4 Definite integration evaluation of $\int_{0}^{\pi}\frac{x}{(a^2\cos^2x+b^2\sin^2x)^2}dx$

# 438 Reputation

 +2 What are the limitations of the limit product rule? +2 Can this be rewritten as the following? +10 best possible algorithm for finding out an ordering $i_1i_2..i_n$ such that $b_{i_k}=a_{i_k+1}$ for $k=1$ to $n-1$ +5 Evaluating the integral $\int_0^1\arctan(1-x+x^2)dx$

 2 Unknown in logarithm base $122312/100000 = (1+t)^5$ 1 Show this equation has at least one root in $(0,1)$ 0 Greatest value of $f(x)= (x+1)^{1/3}-(x-1)^{1/3}$ on $(0,1)$ 0 computing the $y_{cm}$

# 24 Tags

 2 logarithms 0 integration × 4 1 calculus × 16 0 definite-integrals × 3 0 derivatives × 7 0 functions × 2 0 coordinate-systems × 4 0 geometry × 2 0 euclidean-geometry × 4 0 sequences-and-series × 2

# 5 Accounts

 Mathematics 438 rep 212 Physics 299 rep 114 Ask Ubuntu 130 rep 7 Stack Overflow 108 rep 7 Chemistry 101 rep 2