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randomgirl
  • Member for 7 years, 5 months
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11 votes

Find $\lim_{x\to0}{\frac{\arctan (2x)}{3x}}$ without using '0/0=1'

6 votes

Easy: Graphs of Straight Line

6 votes

Indefinite Integral with "sin" and "cos": $\int\frac{3\sin(x) + 2\cos(x)}{2\sin(x) + 3\cos(x)} \; dx $

5 votes

solve the equation with superscripts

5 votes
Accepted

Partial Derivatives and the Fundamental Theorem of Calculus

5 votes
Accepted

Limits: Can't understand this worked example

5 votes

If $a,b> 0$, $a\neq b$, and $a + b = 2$ prove that $ab < 2$.

5 votes

Is it possible to solve the following equation without using the Rational Root Theorem?

5 votes
Accepted

Find the limit $\lim_{x\rightarrow 0} \frac{\sin x - x}{\tan x - x}$

5 votes
Accepted

Limit answer not matching

5 votes

Functional equation: $f(x)+ 2f \left(\dfrac{2002}{x}\right) =3x$

4 votes
Accepted

Solve integral $ \int \frac{dx}{( \sin x + 2 \cos x )^3}$

4 votes

Compute average velocity of a particle over a given time interval

4 votes

Find the sum of values of $x$ such that $|x+2| +|x-3| +|x+4| + |x+5| = 18$

4 votes
Accepted

$\int x^x\frac { { (x }^{ 2x }+1)[\ln { (x)+1 } ] }{ { x }^{ 4x }+1 } dx$

4 votes

Why does having a function within a function change the integral value?

3 votes

Very simple question about subsets

3 votes

Find the derivative of the function $F(x) = \int_{\tan{x}}^{x^2} \frac{1}{\sqrt{2+t^4}}\,dt$.

3 votes
Accepted

Solving a radical equation for real roots

3 votes

The divisibility of $a^p-1$ by $a-1$ and by $(a-1)^2$

3 votes

Here is an arithmetic sequece find the 20 th term

3 votes

Intuitive understanding of factoring quadratic equations

3 votes
Accepted

Proof of indefinite integral of inverse function

3 votes
Accepted

Integration - Evaluating the integral $ \int\sqrt{r^2-x^2}\,{\rm d}x $

3 votes

Finding the point of intersection of two curves. Integrating with respect to Y.

3 votes

How to find a polynomial that satisfies $p(x+1)-p(x)=x^2$ subject to $p(0)=0$?

3 votes

Evaluate $\lim\limits_{x\to 1}\frac{\sqrt x-x^2 }{1-\sqrt x}$

3 votes

How have I incorrectly computed $\int \frac{x^{2}+4}{x(x-1)^{2}} dx$?

3 votes

Integral that evaluates to 42

3 votes

Why is $f(x)=\frac {\frac{1}{x-1} + \frac{1}{x+1}}{\frac{2}{x+1} + \frac{1}{x}}$ defined at -1, 0 and not at 1

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