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Henry Lee
  • Member for 4 years, 3 months
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9 votes
Accepted

Determine whether the integral $ \int^{+\infty}_0\frac{e^{-t}} {\sqrt t} \, dt$ converges or diverges?

7 votes

What does $2.5437065e\!−\!5$ mean? [scientific notation]

7 votes

One Dimensional Gaussian Integral involving a rational function

6 votes

What are examples of the integration trick involving "Simultaneous Integrals," "Dual Integrals," or "Pairs of Integrals"?

6 votes
Accepted

Why $3^{3}+4^{3}+5^{3}$ is equal $6^{3}$ and with different numbers length too?

6 votes

Why is it not possible to integrate over a singularity?

5 votes

Integrate $\int\frac{dx}{7+5\cos x}$

5 votes

What is $\int_0^{\pi/2}\sin^7(\theta)\cos^5(\theta)d\theta$

5 votes

Calculate $\frac{d}{dx}\left(x^x+x^{2x}+x^{3x}+...\right)$.

5 votes

A simple proof for Glasser: $\int_{-\infty}^{\infty} f(x-a/x) dx=\int_{-\infty}^{\infty} f(x) dx, a>0$

5 votes

Find the area using integrals

5 votes
Accepted

Is there a "more easier" way to integrate by parts?

5 votes

Prove that $2-\cfrac{\pi^2}{6-\cfrac{\pi^2}{10-\cfrac{\pi^2}{14-\cfrac{\pi^2}{...}}}} = 0$

4 votes
Accepted

Why are $ a^{\log _{b} n} $ and $ n^{\log _{b} a} $ equivalent?

4 votes
Accepted

Calculating limit of a sum by turning it into an integral

4 votes

Evaluating $\int_0^1 (1-x^2)^n dx$

4 votes

Why is the integral of the tangent function a natural log function?

4 votes
Accepted

How many roots has $x^a=b$ where $a$ is a real number?

4 votes

Solutions to the equation $x! + y! = (p-1)^{p}$

4 votes

Is indefinite integration suspect?

4 votes

Another way to solve $\int \frac{\sin^4(x)}{1+\cos^2(x)}\ dx$ without the substitution $y=\tan\left(\frac{x}{2}\right)$?

4 votes

UC Berkeley Integral Problem: Show that $\int_0^{2\pi} \frac{\min(\sin x, \cos x)}{\max(e^{\sin x},e^{\cos x})}\ {\rm d}x = -4\sinh(1/{\sqrt2})$.

4 votes

If $\int_{0}^{1}\dfrac{\sin{x}}{1+x}dx=b$, find $\int_{0}^{1}\dfrac{\cos{x}}{1+x}dx$

4 votes

How to Evaluate $ \sum_{n=1}^{\infty} \frac{(-1)^n}{n} \sum_{k=1}^{n}\frac{1}{4k-1} $

4 votes

Split up a double integral

4 votes

Computing $\int_{-π/2}^{π/2} \frac{28\cos^2(θ)+10\cos(θ)\sin(θ)-28\sin^2(θ)}{2\cos^4(θ)+3\cos^2(θ)\sin^2(θ)+m\sin^4(θ)}\ dθ$

4 votes
Accepted

Proving $\int_0^\pi \frac{\log(1+x\cos (y))}{\cos y}dy=\pi \arcsin x$

4 votes

$x^3 \frac{dy}{dx} = y^3 +y^2\sqrt{y^2 - x^2}$

4 votes

Double summation with improper integral

4 votes

Finding value of $\int^{2\pi}_{0}\frac{\sin^2(x)}{a-b\cos x}dx$ without contour Integration

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