calculus related issues & queries in MathXchanger

A question from G.Polya

calculus sequences-and-series
Updated December 10, 2018 02:20 AM

Evaluate $\int_{\pi/6}^\frac{\pi}{2}csc\left(t\right)cot\left(t\right)dt $

calculus
Updated December 10, 2018 02:20 AM

Proving $\sum_{k = 0}^{\infty} \frac{1}{1 + |x|^{k}}$ converges if and only if $|x| > 1$

calculus sequences-and-series convergence
Updated December 10, 2018 02:20 AM

Is there a way to write the convolution form of a derivative?

calculus derivatives convolution image-processing
Updated December 10, 2018 02:20 AM

Integrate 1/(3+4x+4x^2)

calculus integration
Updated December 10, 2018 01:20 AM

When is a sum of continous functions continous?

calculus sequences-and-series general-topology limits
Updated December 10, 2018 01:20 AM

Integrating $\int \sec xdx$: Why is $\ln|\text{sec}x + \text{tan}x| + C$ preferred over $\tanh^{-1}(\sin x) + C$?

calculus trigonometry soft-question indefinite-integrals trigonometric-integrals
Updated December 10, 2018 00:20 AM

Consider the Integral $ \int_{0}^1\left( x^3-3x^2\right)dx $ and evaluate using Riemann Sum

calculus riemann-sum
Updated December 09, 2018 23:20 PM

Does $\int_1^\infty \frac{\ln(x)}{x^2} dx $ converge or diverge?

calculus convergence
Updated December 09, 2018 23:20 PM

Find polar forms for zw, z/w, and 1/z by first putting z and w into polar form. $ z=2\sqrt{3}-2i, w=-1+i $

calculus
Updated December 09, 2018 22:20 PM

Clarification on why this integral is divergent?

calculus integration definite-integrals
Updated December 09, 2018 22:20 PM

Evaluate integral using Riemann Sum

calculus riemann-sum
Updated December 09, 2018 21:20 PM

Showing that an injective Darboux function is strictly monotone.

real-analysis calculus
Updated December 09, 2018 21:20 PM

The integral of $\int_{-\pi/4}^{\pi/4} \frac{t^4\tan(t)}{2+\cos(t)}\,dt$?

calculus integration
Updated December 09, 2018 21:20 PM

Is there a way to tell whether an integral exists or not without graphing the function?

calculus integration
Updated December 09, 2018 21:20 PM

how to use Shannon-expansion to rewrite Logic to Normal if-then-else Form (INF)

logic propositional-calculus boolean-algebra
Updated December 09, 2018 21:20 PM

Integral of a determinant over a unit simplex

calculus integration determinant simplex
Updated December 09, 2018 21:20 PM

Simple system of Linear ODEs

calculus differential-equations dynamical-systems
Updated December 09, 2018 20:20 PM

Proof that $\tan(x)\leq{}x-\frac{\pi}{4}+\tan(\frac{\pi}{4})$ using the Mean Value Theorem

real-analysis calculus analysis proof-writing
Updated December 09, 2018 20:20 PM

Powerset algebra forming Boolean Algebra

set-theory propositional-calculus boolean-algebra
Updated December 09, 2018 20:20 PM

Show that $|y-y_0|<\text{min}(\frac{|y_0|}{2},\frac{\epsilon|y_0|^2}{2}) \implies \left\vert \frac{1}{y}-\frac{1}{y_0} \right\vert < \epsilon. $

real-analysis calculus inequality
Updated December 09, 2018 20:20 PM

how can we explain that $\int_{0}^{L}1 + \frac{1}{2}(u'(x))^2dx - L = \int_{0}^{L}\frac{1}{2}(u'(x))^2dx$?

calculus integration
Updated December 09, 2018 20:20 PM

General solution of $xy '= y+\sqrt{x^2+y^2}$

calculus differential-equations
Updated December 09, 2018 19:20 PM

Find the $\lim_{n\to\infty}n^{2} \int_{0}^{1} \frac{1}{(1+x^{2})^{n}} \, dx$.

real-analysis calculus sequences-and-series limits
Updated December 09, 2018 19:20 PM

Natural logs with L'Hopital's rule

calculus limits
Updated December 09, 2018 19:20 PM

False negative and detection rate standard deviation values are always the same?

calculus functions
Updated December 09, 2018 19:20 PM

Analyse Equicontinuity (uniform continuity) of a funcition

calculus continuity equicontinuity
Updated December 09, 2018 18:20 PM

I don't know what substitution should use in this integral

calculus
Updated December 09, 2018 18:20 PM

Lagrange notation: $f^{(0)}(x)$?

calculus functions derivatives notation taylor-expansion
Updated December 09, 2018 17:20 PM

TIFR GS2019 Definite Integral: $ \int_{0}^{1} \frac{x^{300}}{1+x^{2}+x^{3}}\,{\rm d}x$

calculus integration definite-integrals
Updated December 09, 2018 15:20 PM

How do i solve this calculus integration

calculus integration
Updated December 09, 2018 15:20 PM

Given $\lim_{n\to\infty}x_n = x \ne 0$ and $\lim_{n\to\infty}y_n = \pm\infty$ show that $\lim x_ny_n = \mp\infty$ when $x<0$

calculus sequences-and-series limits
Updated December 09, 2018 14:20 PM

How to calculate the average projected area of a circle?

calculus definite-integrals surfaces
Updated December 09, 2018 14:20 PM

The property of coercivity in stochastic analysis

stochastic-calculus stochastic-analysis sde stationary-processes coercive
Updated December 09, 2018 14:20 PM

Is my conception of limit correct?

calculus limits derivatives definite-integrals definition
Updated December 09, 2018 14:20 PM

Can we find the $a$ value?

real-analysis calculus integration limits derivatives
Updated December 09, 2018 14:20 PM

Calculating $\mathbb E \big( \sin W(t) \big)$, where $W$ is a Wiener process

stochastic-calculus brownian-motion expected-value
Updated December 09, 2018 12:20 PM

How to prove that it is impossible to express one variable as function of others in a equation (implicit function theorem)?

calculus multivariable-calculus derivatives implicit-function-theorem
Updated December 09, 2018 12:20 PM

prove $(p → r) ∨ ( q → r)$ logically equivalent to the statement $(p∧q) → r$

discrete-mathematics logic propositional-calculus boolean-algebra
Updated December 09, 2018 11:20 AM

Finding $\lim_{x\to 1}\frac{\sqrt[m]x - 1}{\sqrt[n]x - 1}$

calculus
Updated December 09, 2018 10:20 AM

Minimize a functional using Euler lagrange equation

calculus maxima-minima euler-lagrange-equation
Updated December 09, 2018 10:20 AM

Representing a variable in terms of two other variables

calculus
Updated December 09, 2018 09:20 AM

Show that $m(E)=1$.

real-analysis calculus measure-theory
Updated December 09, 2018 09:20 AM

Limit of sequences - including infinite limits

calculus sequences-and-series limits
Updated December 09, 2018 08:20 AM

Show the following function is increasing

real-analysis calculus
Updated December 09, 2018 07:20 AM

Did I just discover this integration formula?

calculus integration
Updated December 09, 2018 07:20 AM

Definition of predictable process

measure-theory stochastic-processes stochastic-calculus
Updated December 09, 2018 07:20 AM

How to develop a solution in limit?

calculus limits
Updated December 09, 2018 06:20 AM

For a convex function, if f is differential at x then how is $\delta$f(x) = {$\triangledown$f(x)}

calculus statistics convex-optimization
Updated December 09, 2018 06:20 AM

How to solve Optimization problems in calculus.

calculus optimization
Updated December 09, 2018 06:20 AM

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