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New posts in calculus
If $\lim\limits_{n \to \infty} a_n$ exists is it true that $a_n$ is bounded?
calculus
sequences-and-series
limits
limits-without-lhopital
Integrating each side of an equation w.r.t. to a different variable?
calculus
integration
Solve $\int_{0}^{\pi/2} \arccos\left( \frac{\cos(x)}{1+2\cos(x)} \right) \mathrm dx$ [closed]
calculus
integration
definite-integrals
How many continuous function $f(x)$ exist such that $\int_{0}^{1}f(x)\big(1-f(x)\big)\mathrm dx = \frac{1}{4}$? [closed]
real-analysis
calculus
contest-math
Counterexample of multiplicative Landau inequality in finite interval
real-analysis
calculus
derivatives
inequality
Sine inequality: How to prove that $|\sin(x)| \le |x|$ for $ x \in \mathbb{R}$ [closed]
calculus
trigonometry
inequality
$ \lim x^2 = a^2$ as $x$ goes to $a$
calculus
real-analysis
proof-verification
epsilon-delta
Partial fractions to integrate$\int \frac{4x^2 -20}{(2x+5)^3}dx$
calculus
integration
How to evalute $\int_{0}^{1}\frac{x\log x}{\log(1-x)}dx$
calculus
integration
definite-integrals
Convergence of $\sum\limits_{n=1}^{\infty}{{n!n^{-p}}\over{q(q+1)...(q+n)}}$
real-analysis
calculus
sequences-and-series
$\int_{-\infty}^\infty f(x)dx$ vs. $\lim_{b\rightarrow\infty}\int_{-b}^b f(x)dx$ for odd $f(x)$.
calculus
integration
improper-integrals
How to calculate this iterated integral:$\int_0^1dy\int_0^y dx\int_0^x \frac{e^z}{1-z}dz$?
calculus
iterated-integrals
Integral: $\int_0^{\infty} \cos\left(\frac{a^2}{x^2}-b^2x^2\right)\,dx$ for $a,b>0$
calculus
integration
definite-integrals
Is the integral always the area under the curve?
calculus
definite-integrals
No definite integrals of trigonometry
calculus
integration
Example of differentiable function which has non-zero quadratic variation
calculus
real-analysis
analysis
When $\delta$ decreases should $\epsilon$ decrease? (In the definition of a limit when x approaches $a$ should $f(x)$ approach its limit $L$? )
calculus
real-analysis
proof-verification
fake-proofs
Evaluate $\lim_{x\to \infty} \cos (\sqrt {x+1})-\cos (\sqrt x)$
calculus
limits
Why the limit of $\frac{\sin(x)}{x}$ as $x$ approaches 0 is 1? [duplicate]
calculus
limits
Evaluating $\int \frac{\sin\left(x\right)}{1+x^2}dx$
calculus
integration
indefinite-integrals
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