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New posts in algebra-precalculus
The existence of partial fraction decompositions
algebra-precalculus
partial-fractions
Sum of the first integer powers of $n$ up to k
calculus
algebra-precalculus
summation
binomial-coefficients
High School Advanced Functions: Clarifying log rules in a log equation - $\log(x^2) = 2$, Solve for x.
algebra-precalculus
functions
logarithms
IMO 2011: Prove that, for all integers $m$ and $n$ with $f(m)<f(n)$, the number $f(n)$ is divisible by $f(m)$
algebra-precalculus
number-theory
proof-writing
contest-math
solution-verification
If $x;y$ $\in T$($x$ and $y$ can be the same), then $x^2-y \in T $ Prove that : $T = \mathbb Z $
combinatorics
algebra-precalculus
number-theory
elementary-number-theory
gcd-and-lcm
Should the domain of a function be inferred?
algebra-precalculus
soft-question
education
Prove $\log_5{30}<\log_8{81}$
algebra-precalculus
number-theory
inequality
Positive integer solutions of $\frac{1}{a_1}+\frac{2}{a_2}+\frac{3}{a_3}+\cdots+\frac{n}{a_n}=\frac{a_1+a_2+a_3+\cdots+a_n}{2}$
algebra-precalculus
elementary-number-theory
contest-math
Solve the trigonometric equation $4\tan(3x)=-3\tan(4x)$
algebra-precalculus
trigonometry
Trigonometric inequality $ 3\cos ^2x \sin x -\sin^2x <{1\over 2}$
algebra-precalculus
trigonometry
A conjecture regarding products of $u(x)=x+\frac1x$
sequences-and-series
combinatorics
algebra-precalculus
polynomials
symmetry
Find the limit given that $f(1)=1$, $f(x+y)=f(x)+f(y)+2xy$ and $f\left(\frac{1}{x}\right)=\frac{f(x)}{x^4}$
algebra-precalculus
limits
functional-equations
How find the value of the $x+y$
algebra-precalculus
systems-of-equations
Value of $\sin (2^\circ)\cdot \sin (4^\circ)\cdot \sin (6^\circ)\cdots \sin (90^\circ) $
algebra-precalculus
Find all function $f(n)$ satisfying $f(n)^2 = n f(f(n))$
algebra-precalculus
functions
functional-equations
Prove $ \sin x + \frac{ \sin3x }{3} + ... + \frac{ \sin((2n-1)x) }{2n-1} >0 $
sequences-and-series
algebra-precalculus
contest-math
Using trig identity to solve a cubic equation
algebra-precalculus
cubics
Integral $\int\frac{\sin^4 x + \cos^4 x}{\sin^3 x + \cos^3 x} dx$
calculus
integration
algebra-precalculus
trigonometry
indefinite-integrals
How does $2^{(\log_4{x})}$ become $\sqrt[2]{x}$?
algebra-precalculus
logarithms
Counting ten-digit numbers whose digits are all different and that are divisible by $11111$
combinatorics
algebra-precalculus
number-theory
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