Mathxx
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9 answers
35 votes
3k views
15 bookmarks
Is there another way to solve this integral?
5 answers
10 votes
3k views
Truth of $x^2-2=0$
3 answers
9 votes
484 views
1 bookmarks
Differentiation of $\sum_{n=0}^{\infty}\frac{1}{(n+1)3^n}x^{n+1}$
5 answers
9 votes
2k views
1 bookmarks
$\sin(40^\circ)<\sqrt{\frac{3}7}$
1 answers
9 votes
351 views
2 bookmarks
Prove that $n=\frac{5^{125}-1}{5^{25}-1}$ is a composite number
3 answers
9 votes
443 views
1 bookmarks
Integration of $\frac{1}{\sin x+\cos x}$
7 answers
9 votes
4k views
2 bookmarks
Inequality with (1-x) as denominator
2 answers
8 votes
931 views
3 bookmarks
Solve $\int \frac{1}{\sin ^{\frac{1}{2}}x \cos^{\frac{7}{2}}x}dx$
2 answers
8 votes
1k views
Solve $x^2+2ax+\frac{1}{16}=-a+\sqrt{a^2+x-\frac{1}{16}} $
2 answers
8 votes
239 views
Evaluate $\int_{0}^{\infty} \frac{\ln x}{x^2+6x+10}dx$
7 answers
8 votes
372 views
1 bookmarks
Factorise $x^5+x+1$
2 answers
8 votes
3k views
2 bookmarks
Series with factorial.
1 answers
8 votes
199 views
4 bookmarks
How to solve this definite integral with involving logarithm: $\int_0^1\left( \ln (4-3^x)+2 \ln(1+3^x)\right)dx$
1 answers
8 votes
525 views
3 bookmarks
Prove this is an isosceles triangle
8 answers
7 votes
3k views
4 bookmarks
Solving $\cos x+\sin x-1=0$
3 answers
7 votes
507 views
2 bookmarks
Problem with definite integral $\int_{0}^{\frac{\pi}{6}}\cos x\sqrt{1-2\sin x} dx$
10 answers
6 votes
5k views
8 bookmarks
Number theory book recommendation.
2 answers
6 votes
903 views
2 bookmarks
Prove that $\cos \frac{2\pi}{2n+1}+\cos \frac{4\pi}{2n+1}+\cos \frac{6\pi}{2n+1}+...+\cos \frac{2n\pi}{2n+1}=\frac{-1}{2}$
3 answers
6 votes
1k views
3 bookmarks
Given that $x+\frac{1}{x}=\sqrt{3}$, find $x^{18}+x^{24}$
2 answers
6 votes
5k views
3 bookmarks
$\int \frac{x^4-1}{x^2\sqrt{x^4+x^2+1}}dx$
2 answers
6 votes
561 views
$x^3-9x-5=0$, then what is $x^4-18x^3-81x^2-12$
2 answers
5 votes
612 views
1 bookmarks
Show that $n^4-20n^2+4$ is composite when $n$ is any integer.
2 answers
5 votes
251 views
3 bookmarks
$y=(1+\frac{1}{n^3})(1+\frac{2^3}{n^3})...(1+\frac{n^3}{n^3})$
5 answers
5 votes
162 views
2 bookmarks
approximation for value of $2^x$ without using calculator
3 answers
5 votes
838 views
2 bookmarks
Greatest value of $\frac{1}{4\sin \theta-3 \cos \theta+6}$
5 answers
5 votes
4k views
2 bookmarks
Solve the equation: $\cos^2(x)+\cos^2(2x)+\cos^2(3x)=1$
2 answers
5 votes
117 views
3 bookmarks
Find the values of m and n(Trigononetry in series)
3 answers
4 votes
2k views
1 bookmarks
Partial Derivative of arctan
2 answers
4 votes
126 views
Inverse function to $f(x)=\frac{e^x-e^{-x}}{2}$
3 answers
4 votes
364 views
1 bookmarks
Simplification of Trigo expression
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