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Mike's user avatar
Mike's user avatar
Mike
  • Member for 12 years, 8 months
  • Last seen this week
115 votes
Accepted

Demystify integration of $\int \frac{1}{x} \mathrm dx$

15 votes
Accepted

Prove that a number is even, given the cube is even

15 votes
Accepted

Solve trigonometric equation for x

11 votes

Prove $n^2+4n+3$ is not prime for $n \in \mathbb{Z}^{+}$.

11 votes

How to evaluate $ \int_{0}^{2015}e^{e^{e^{e^{2015x}}}}e^{e^{e^{2015x}}}e^{e^{2015x}}e^{2015x}dx $?

11 votes
Accepted

No of comparisons to find 2nd smallest number?

11 votes

Why does the solution of a Pell's equation equal zero?

10 votes
Accepted

$\int \frac{\sin^3x}{\sin^3x + \cos^3x)}$?

8 votes
Accepted

Showing that the last digit of $a$ and $a^{13}$ are the same

8 votes
Accepted

Infinite Series $\sum\limits_{n=1}^\infty\frac{x^{3n}}{(3n-1)!}$

7 votes

$\delta_2(n)$ the sum of the squares of the positive divisors of $n$.

7 votes
Accepted

Find the value of equation?

7 votes

Prime Number Generator: $n\cdot2^n - 1$?

7 votes
Accepted

Question regarding what appears to be an identity

7 votes

high order DE :$y''''+y'''=1-x^2\,e^{-x}$

7 votes

Why does "$x^2 - 5x + 6 = 0$", which is the same as "$(x-3)(x-2) = 0$", represent a parabola?

6 votes
Accepted

Combinatorics problem with bit-strings

6 votes

Showing $\int_0^1\frac{\sin^{-1}\left(\frac{2x}{1+x^2}\right)}{1+x^2}dx=\frac{\pi^2}{16}$

6 votes

How to find the multiplicative inverse of $2^{29} \mod 9$

6 votes

Calculate $121^{199} \mod 300$

6 votes
Accepted

Solve the integral $\int \frac{dx}{\:\sqrt[4]{\left(x+2\right)^5\cdot \left(x-1\right)^3}}$

6 votes
Accepted

Solving an integral with substitution method

6 votes

Evaluating $\int_{0}^{1} \sqrt{1+x^2} \text{ d}x$

6 votes
Accepted

To find the logarithm of $1728$ to the base $2 \sqrt{3}$

6 votes
Accepted

Need to simplify a logarithmic expression

6 votes

Solve $x\sqrt{x\sqrt{x\sqrt{x\dots}}} = 4$

6 votes

Evaluation of $\int \sec^3 (x)dx$

5 votes

How do I solve the trigonometric equation $\sec^3x - 2 \tan^2 x = 2$?

5 votes
Accepted

How to factorize $x^4+2x^2+4$ to a product of polynomials with real coefficients?

5 votes
Accepted

Solve $3^x+3^{(3x+1)}=108$

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