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Jia Ming جيا ميڠ's user avatar
Jia Ming جيا ميڠ's user avatar
Jia Ming جيا ميڠ's user avatar
Jia Ming جيا ميڠ
  • Member for 7 years, 7 months
  • Last seen more than a month ago
1 vote
Accepted

Integral of $\left(\frac{x^4}{1-x^4}\right)^k$

0 votes

Integration by substitution, why is the $u$ this value?

8 votes
Accepted

Is there a short, elementary way to show $\cos(x+y)=\cos x\cos y-\sin x\sin y$ for any angles $x$ and $y$?

3 votes
Accepted

How to solve integral $\int \log (x+\frac{1}{2}-\frac{\arctan(\tan(\pi(x+\frac{1}{2})))}{\pi})dx$?

0 votes

Finding interesting ways to solve $\int \frac{2\sinh(x)+1}{2\cosh(3x)} {\rm d}x$.

3 votes

Definite integral $\int_0^{\pi/12} \left( \frac{e^x \cos(x)}{\cos(x+\frac\pi4)} \right)^2 {\rm d}x= e^{\pi/6} \cos \left( \frac\pi6 \right) - \frac12$

6 votes

Integrate $\int \frac{1}{a + \cos x} dx$

5 votes

Ways to prove that $\int_0^\infty \frac{x^2 \ln(x)}{(1+x^2)^3} {\rm d}x = 0$.

1 vote

How to solve this definite integral $\int_0^\pi \frac{\cos^9(x)}{\sin^3(x)+\cos^3(x)}dx$

1 vote

How to evaluate factorials greater than $69!$

5 votes
Accepted

Integral $\int\frac{(1+x) \lfloor(1-x+x^2)(1+x+x^2)+x^2\rfloor}{1+2x+3x^2+4x^3+3x^4+2x^5+x^6}dx$

2 votes

How to calculate $\int \frac{\cos^2 x}{1 + \sin^2 x}dx$

1 vote

Find $x, y\in\mathbb Z$ such that $\frac{x}{2} + \frac{x}{y} - \frac{3}{2} = \frac{10}{y}$

7 votes

Number of planes that are equidistant from 4 non-coplanar points