# V-Moy

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bio website location Random Country age 14 member for 5 months seen Aug 24 at 8:16 profile views 1,072

I have had a bad day on Math S.E. because of serial downvotes. So, if you downvote my post (questions or answers), care to explain, please? You don't have any reasons to scare with a little girl like me. I promise, I will NOT take revenge because of your downvote(s). Be a gentleman. Thank you.

 12 Evaluate the indefinite integral $\int \frac{\sqrt{9-4x^{2}}}{x}dx$ 12 Evaluating $\displaystyle\lim_{x\to 0}\left(\frac{1}{\sin x} - \frac{1}{\tan x}\right)$ 9 Surely You're Joking, Mr. Feynman! $\int_0^\infty\frac{\sin^2x}{x^2(1+x^2)}\,dx$ 8 How to find the integral for $\int 2^{\sin{x}}\cos{x}\;\mathrm{d}x$? 6 Evaluate $\int_0^{\infty} x p^xe^{\Large-\frac{x}{a}}\ dx$

# 2,946 Reputation

 +50 Compute $\lim_{n\to\infty}n^4\int_0^1\frac{x^n\ln^3x}{1+x^n}\ln(1-x)\,dx$ +10 Evaluate $\int_0^{\infty} x p^xe^{\Large-\frac{x}{a}}\ dx$ +5 A closed form of $\int_0^1\frac{\ln\ln\left({1}/{x}\right)}{x^2-x+1}\mathrm dx$ +10 Symmetry of function defined by integral

# 21 Questions

 23 Single Variable Integral 13 Surely You're Joking, Mr. Feynman! $\int_0^\infty\frac{\sin^2x}{x^2(1+x^2)}\,dx$ [duplicate] 12 The other ways to calculate $\int_0^1\frac{\ln(1-x^2)}{x}dx$ 12 Compute $\int_0^\pi\frac{\cos nx}{a^2-2ab\cos x+b^2}\, dx$ 10 Compute $\lim_{n\to\infty}n^4\int_0^1\frac{x^n\ln^3x}{1+x^n}\ln(1-x)\,dx$

# 61 Tags

 71 calculus × 44 17 limits × 6 55 integration × 34 11 algebra-precalculus × 9 25 definite-integrals × 22 11 radicals × 2 21 trigonometry × 14 10 improper-integrals × 11 19 real-analysis × 18 8 differential-equations × 6

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