User Varun Iyer

19 votes

Accepted

Solving base e equation $e^x - e^{-x} = 0$

answered Jul 14, 2014 at 21:11

13 votes

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Limits of $\frac{\sin^2x}{x^2}$ as $x$ approaches infinity

answered Jul 6, 2014 at 1:17

11 votes

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What's the sum of this series?

answered Aug 28, 2014 at 0:07

9 votes

Accepted

Derive an explicit formula for a power series $\sum_{n=1}^\infty n^2x^n$

answered Nov 7, 2014 at 11:42

9 votes

Accepted

Why does this series $\sum_{n=0}^{\infty} \frac{(n!)^{2}}{(2n)!}$ converge?

answered Jan 10, 2016 at 14:48

8 votes

What is the value of this double integral?

answered Jul 27, 2014 at 10:53

7 votes

Why is a rectangle a parallelogram, but a parallelogram is not a rectangle?

answered Jun 29, 2014 at 16:52

6 votes

Accepted

Are there any 3 natural numbers that satisfy $a^2+b^2=2z^2 $?

answered Jun 29, 2014 at 15:37

6 votes

How to find the derivative of improper integral with variable upper limit?

answered Sep 14, 2014 at 18:47

6 votes

Quadratics with roots as integers; possible values of a

answered Nov 26, 2014 at 11:26

5 votes

Accepted

What does 'express in terms of $x$' mean?

answered Nov 26, 2014 at 11:06

4 votes

Find limit of $\frac {1}{x^2}- \frac {1}{\sin^2(x)}$ as x goes to 0

answered Dec 6, 2014 at 1:39

4 votes

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Rectangular piece of paper

answered Nov 16, 2014 at 12:03

4 votes

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Tough inverse Laplace transform

answered Dec 14, 2014 at 1:30

4 votes

How to find $x$ in $y=\frac{x}{x+1}$?

answered Nov 28, 2015 at 13:57

4 votes

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How many subsets can be made with a set of $N$ items?

answered Jan 10, 2016 at 13:22

4 votes

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Solving functional equation $f(x)\cdot f(y)-xy=f(x)+f(y)-1$

answered Dec 23, 2015 at 11:45

4 votes

Accepted

Evaluating the indefinite integral $\int\frac{dx}{qx+c}$

answered Sep 14, 2014 at 3:11

4 votes

Indefinite integral: $\int \frac{\log x}{ x + 4x \log^2 x} dx$

answered Aug 12, 2014 at 11:36

4 votes

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The general solution of first order ODE

answered Aug 20, 2014 at 9:39

4 votes

Accepted

State 3 differences between $f(\theta) = \cos\theta$, and $f(\theta) = \sin\theta$.

answered Jun 29, 2014 at 21:32

4 votes

Finding a formula for specific limits

answered Jul 6, 2014 at 1:29

4 votes

Accepted

Finding the maximum and minimum values of $f(x)=a^x+a^{1/x}$

answered Jul 7, 2014 at 10:55

3 votes

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Question about the Fundamental Theorem of Calculus

answered Jul 31, 2014 at 18:57

3 votes

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The rate of change of the distance between the tips of the hands of a clock

answered Jul 15, 2014 at 0:44

3 votes

What is the best way to find the derivative of binomials to a power? ((x+x^{-1})^3)'

answered Jul 11, 2014 at 2:03

3 votes

How to work out the percentage?

answered Jul 17, 2014 at 16:20

3 votes

Using mean value theorem to show that $\cos (x)>1-x^2/2$

answered Aug 5, 2014 at 10:15

3 votes

Accepted

How to evaluate a definite integral that contains a constant?

answered Sep 14, 2014 at 21:18

Stack Exchange Network

247 Answers

Solving base e equation $e^x - e^{-x} = 0$

Limits of $\frac{\sin^2x}{x^2}$ as $x$ approaches infinity

What's the sum of this series?

Derive an explicit formula for a power series $\sum_{n=1}^\infty n^2x^n$

Why does this series $\sum_{n=0}^{\infty} \frac{(n!)^{2}}{(2n)!}$ converge?

What is the value of this double integral?

Why is a rectangle a parallelogram, but a parallelogram is not a rectangle?

Are there any 3 natural numbers that satisfy $a^2+b^2=2z^2 $?

How to find the derivative of improper integral with variable upper limit?

Quadratics with roots as integers; possible values of a

What does 'express in terms of $x$' mean?

Find limit of $\frac {1}{x^2}- \frac {1}{\sin^2(x)}$ as x goes to 0

Rectangular piece of paper

Tough inverse Laplace transform

How to find $x$ in $y=\frac{x}{x+1}$?

How many subsets can be made with a set of $N$ items?

Solving functional equation $f(x)\cdot f(y)-xy=f(x)+f(y)-1$

Evaluating the indefinite integral $\int\frac{dx}{qx+c}$

Indefinite integral: $\int \frac{\log x}{ x + 4x \log^2 x} dx$

The general solution of first order ODE

State 3 differences between $f(\theta) = \cos\theta$, and $f(\theta) = \sin\theta$.

Finding a formula for specific limits

Finding the maximum and minimum values of $f(x)=a^x+a^{1/x}$

Related Rates of Change - Cylinder Question

Question about the Fundamental Theorem of Calculus

The rate of change of the distance between the tips of the hands of a clock

What is the best way to find the derivative of binomials to a power? ((x+x^{-1})^3)'

How to work out the percentage?

Using mean value theorem to show that $\cos (x)>1-x^2/2$

How to evaluate a definite integral that contains a constant?