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Ben Longo's user avatar
Ben Longo's user avatar
Ben Longo's user avatar
Ben Longo
  • Member for 10 years, 3 months
  • Last seen this week
18 votes
Accepted

What are your favorite relations between e and pi?

7 votes
Accepted

Evaluate $ \int_{1}^{\infty} \frac{\sqrt{x - 1}}{(x + 1)^{2}} ~ \mathrm{d}{x} $.

6 votes

What's domain of $\sqrt{\sin\pi(x^2-x)}$

4 votes

Evaluate $\lim_{x\to \infty} \frac{\tan^{2}(\frac{1}{x})}{(\ln(1+\frac{4}{x}))^2}$

3 votes

How to solve $\int (2x^2 + 1) e^{x^2} \, dx$ using elementary integration and integration by parts?

3 votes
Accepted

Integral involving power of logarithm

2 votes

Integral $\int_0^1\arctan(x)\arctan\left(x\sqrt3\right)\ln(x)dx$

2 votes
Accepted

Ellipse by moving center of a parametric circle equation?

2 votes

Closed form for ${\large\int}_0^\infty\frac{\arctan(x)\,\operatorname{arccot}(x+1)}{x}dx$

2 votes
Accepted

Can someone explain the integration of $\sqrt{v²+\tfrac14}$ to me?

1 vote

What are roots of $x^{3}+3x^{2}+4x+1$?

1 vote

Problem of a solid of revolution. When I need to use the $2\pi$ in the shell method. Exactly why is used that $2\pi$

1 vote

what are all ordered pairs $(a,b)$ for which $17a^2-10ab+2b^2-4a+2=0$

1 vote
Accepted

Related rates: using angle to find rate of change of opposite side

1 vote

What is the value of this infinite sum?

1 vote

Find the limit of the vector as $~t~$ approaches $~0~$?

1 vote

Does a bouncing spring possess all types of motion?

1 vote

How many triangles are possible with no side greater than $4$ units?

1 vote
Accepted

Is there a quick method for sketching the general shape of $f(x)=x^2 e^x$ by inspection?

1 vote
Accepted

Differentiation of a function with respect to an extra variable

1 vote

Integral $\int_0^{1/2}\arcsin x\cdot\ln^3x\,dx$

1 vote
Accepted

Find $\alpha$ between two tangents.

1 vote

which phenomena follow normal distribution?

1 vote

Solving logarithmic equation $2\log(x) + 1 =\log(19x+2)$

0 votes

Parametrization of a hypocycloid

0 votes
Accepted

Is $\sum^{\infty}_{k=1}(-1)^k\frac{1}{\sqrt{8k+2}}$ absolutely convergent?

0 votes

Finding all the points (x, y) where the slope of the tangent line is -1 and 1.

0 votes
Accepted

Indefinite integral - What am I doing wrong?

0 votes

Find the equations of the locus of the point P (x,y) that is equidistant from the lines 4x+3y-2=0 and 12x-5y+6=0.

0 votes

Washer Method to revolve region