pawel's user avatar
pawel's user avatar
pawel's user avatar
pawel
  • Member for 3 years, 2 months
  • Last seen more than 1 year ago
6 votes
Accepted

Prove that $\int_{π/3}^{π/4}\frac{{\sin x\cos x}}{{1 - 2\cos (2x)}}dx= - \frac{{\log 2}}{8}$

3 votes
Accepted

Finding $a+b$ for real $a$ and $b$ such that $f(x)=ax+b$ and $f(bx+a)=x$

3 votes
Accepted

Rewriting $\sqrt{h(h+1)}-h$ into $\frac{h(h+1)-h^2}{\sqrt{h(h+1)}+h}$

2 votes
Accepted

Fractional Infinite Power Tower

2 votes

Solve limit for a

2 votes

Solve for $p$ in $\int_{0}^{1} \frac{1}{x^p}\,dx = \frac{4}{3}$

1 vote

On what interval is $f(x)=x-\tan(x)$ increasing or decreasing?

1 vote
Accepted

Induction Hypothesis Should there be a plus sign

1 vote
Accepted

how to calculate this limit: $\displaystyle \lim\limits_{n\to \infty} \sum_{i=1}^{n} \sin{\frac{2\pi}{i}} $

1 vote
Accepted

How to integrate $\int \frac{\sqrt{a^2-x^2}}{x}dx$?

1 vote

Show that $\frac{3}{2}=sup\{\frac{1}{2}+\frac{(-1)^n*n}{n+1}\}$

1 vote
Accepted

Limit to infinity involving trigonometric functions

0 votes
Accepted

studying the function $f(x)= \sqrt{x^2+x}-x$

0 votes

Proving two limits equal to each other?

0 votes

Limit with parameters

0 votes

$\lim_{t\to\infty}a\sqrt{\log \log t}+bt$

0 votes
Accepted

Limit of a squared function over a cyclometric function

0 votes

An apparent dichotomy in the calculation of a limit with indeterminacy $ 0^0 $

0 votes

Integral $\int_{0}^{1} \frac{\ln(x^2+1)}{x^2} \,dx$

0 votes

Differentiating $\frac{1}{7}\cos^4(x^2+2x+3)$

0 votes
Accepted

Can anyone show me the process to get the result Undefined (1/0) from Tangent inverse one (-2/0) [ tan−1(-2/0) ]?

0 votes

$\lim_{n\to\infty} \frac{2^n(n^4-1)}{4\cdot 3^n + n^7}$