User The Integrator

21 votes

Why do we need so many trigonometric definitions?

answered Mar 29, 2018 at 16:36

7 votes

Accepted

What is the antiderivative of $(e^x)^2$

integration exponential-function

answered Apr 16, 2018 at 14:48

7 votes

Integration of $\sec^4 x$

calculus integration indefinite-integrals

answered May 7, 2018 at 15:10

6 votes

Is this proof that the derivative of $\ln(x)$ is $1/x$ correct?

calculus limits derivatives logarithms exponential-function

answered Apr 6, 2018 at 15:19

5 votes

How to cut fried eggs with mathematical elegance and perfection

geometry euclidean-geometry recreational-mathematics geometric-construction

answered Mar 18, 2018 at 6:36

5 votes

Simple trig integration

integration

answered May 22, 2018 at 17:35

5 votes

Find a real number $x$ such that $x^5 − x − 1 = 0$.

real-analysis real-numbers

answered Jun 7, 2018 at 12:00

5 votes

Accepted

Integrate inverse of $f(x)$?

integration definite-integrals

answered Jun 8, 2018 at 4:33

4 votes

A system of logarithmic equations with parameters

logarithms systems-of-equations

answered Jun 21, 2018 at 19:16

4 votes

How to find x for the following equation?

exponential-function

answered Jun 29, 2018 at 17:25

4 votes

Accepted

Summation rules and properties

summation

answered Jul 22, 2018 at 17:24

4 votes

Accepted

Let $I=\int_{-\pi}^{\pi}\dfrac{sin^2x}{1+a^x}dx,a>0$.Find the value of $I$

definite-integrals

answered May 12, 2018 at 15:39

4 votes

Strange Limit in Proof of the Fresnel Integral

calculus integration proof-verification improper-integrals

answered Apr 16, 2018 at 16:05

4 votes

Differential Equations; Bernoulli equation

ordinary-differential-equations

answered Apr 15, 2018 at 18:19

4 votes

Acceleration + velocity calculus question

calculus applications

answered Apr 12, 2018 at 13:36

3 votes

How to direct a friend's genuine curiosity in mathematics?

soft-question

answered Apr 3, 2018 at 5:33

3 votes

Find $\lim_{x \to 0} \frac{x - \tan(x)}{x - \sin(x)}$

calculus limits

answered Apr 24, 2018 at 18:34

3 votes

Why is partial $\dfrac{\partial \sin y(t)}{\partial t} = y'(t)\cos t$ when $\dfrac{\partial\sin y(t)}{\partial y} = 0\text{ ?}$

calculus multivariable-calculus partial-derivative

answered May 22, 2018 at 23:35

3 votes

Finding Area between curves

calculus integration algebra-precalculus definite-integrals

answered May 28, 2018 at 15:58

3 votes

Finding velocity of a particle in linear motion.

calculus kinematics

answered Jun 1, 2018 at 11:19

3 votes

Trouble with calculus problem

calculus

answered May 14, 2018 at 19:52

3 votes

Accepted

Determining the roots of polynomial $R(x)$

polynomials

answered Jul 2, 2018 at 8:07

2 votes

Proof by induction $3^{2n}-2^n$ is multiply of 7

elementary-number-theory proof-verification induction divisibility

answered Jun 8, 2018 at 5:53

2 votes

Integration functions

integration

answered Jun 7, 2018 at 13:59

2 votes

An iron bar 20 m long is bent to form a closed plane area. What is the largest area possible?

calculus maxima-minima

answered Jun 4, 2018 at 9:18

2 votes

Accepted

Solving $(y\cos x)dx+(\sin x +2)dy=0$

ordinary-differential-equations

answered Jun 5, 2018 at 14:24

2 votes

If u, v and w are three non-coplanar vectors, then $(u + v − w) \cdot (u − v) \times (v − w) $is equal to

algebra-precalculus vectors

answered May 18, 2018 at 8:10

2 votes

Accepted

Definite Integration using properties/fast way to get definite integration

integration definite-integrals

answered May 28, 2018 at 20:35

2 votes

Accepted

What is Odin's present age?

algebra-precalculus

answered Apr 23, 2018 at 12:30

2 votes

Accepted

time derivative of a function with one variable depending on time

derivatives

answered May 8, 2018 at 11:51

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172 Answers

Why do we need so many trigonometric definitions?

What is the antiderivative of $(e^x)^2$

Integration of $\sec^4 x$

Is this proof that the derivative of $\ln(x)$ is $1/x$ correct?

How to cut fried eggs with mathematical elegance and perfection

Simple trig integration

Find a real number $x$ such that $x^5 − x − 1 = 0$.

Integrate inverse of $f(x)$?

A system of logarithmic equations with parameters

How to find x for the following equation?

Summation rules and properties

Let $I=\int_{-\pi}^{\pi}\dfrac{sin^2x}{1+a^x}dx,a>0$.Find the value of $I$

Strange Limit in Proof of the Fresnel Integral

Differential Equations; Bernoulli equation

Acceleration + velocity calculus question

How to direct a friend's genuine curiosity in mathematics?

Find $\lim_{x \to 0} \frac{x - \tan(x)}{x - \sin(x)}$

Why is partial $\dfrac{\partial \sin y(t)}{\partial t} = y'(t)\cos t$ when $\dfrac{\partial\sin y(t)}{\partial y} = 0\text{ ?}$

Finding Area between curves

Finding velocity of a particle in linear motion.

Trouble with calculus problem

Determining the roots of polynomial $R(x)$

Proof by induction $3^{2n}-2^n$ is multiply of 7

Integration functions

An iron bar 20 m long is bent to form a closed plane area. What is the largest area possible?

Solving $(y\cos x)dx+(\sin x +2)dy=0$

If u, v and w are three non-coplanar vectors, then $(u + v − w) \cdot (u − v) \times (v − w) $is equal to

Definite Integration using properties/fast way to get definite integration

What is Odin's present age?

time derivative of a function with one variable depending on time