# Mr.ØØ7

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bio website location Bathinda, India age 19 member for 1 year, 6 months seen Aug 3 at 7:00 profile views 559

Best Way to solve problems is to Avoid problems

 46 Is value of $\pi = 4$? 19 Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$ 12 Complex numbers $z$ such that $|z|= 1$ 7 Finding the 9th derivative of $\frac{\cos(5 x^2)-1}{x^3}$ 5 How can I prove that $xy\leq x^2+y^2$?

# 2,847 Reputation

 +200 Is value of $\pi = 4$? +30 Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$ +5 Prove $ax^2+bx+c=0$ has no rational roots if $a,b,c$ are odd

# 23 Questions

 7 Trigonometric function integration: $\int_0^{\pi/2}\frac{dx}{(a^2\cos^2x+b^2 \sin^2x)^2}$ 6 Prove $ax^2+bx+c=0$ has no rational roots if $a,b,c$ are odd 4 Finding the maximum of $\frac{a}{c}+\frac{b}{d}+\frac{c}{a}+\frac{d}{b}$ 4 How many natural numbers $n$ exist for $n=a^2−b^2−c^2$ 4 Prove $P(x)>0, \forall \space x>1$

# 70 Tags

 47 geometry × 4 26 logarithms × 4 47 analysis × 3 23 complex-analysis × 2 46 pi 20 trigonometry × 10 46 fake-proofs 19 algebra-precalculus × 11 37 integration × 17 19 contour-integration

# 5 Accounts

 Mathematics 2,847 rep 730 Physics 2,346 rep 828 Meta Stack Exchange 213 rep 110 Board & Card Games 133 rep 4 Arqade 128 rep 4