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Captain Chicky's user avatar
Captain Chicky's user avatar
Captain Chicky
  • Member for 1 year, 9 months
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6 votes

Evaluate $\int_0^{\frac{1}{2}}(1-2 x) \ln (\tan (x)) d x$

4 votes

Upper bound on |zf(z)| in a complex keyhole contour integral

4 votes

Can the second integral of $x^x$ be expressed in terms of the first integral and standard mathatical functions?

4 votes
Accepted

Solution to $2^x=x!$

3 votes
Accepted

Integration of $\int\sin^{3}2x\, dx.$ using IBP

3 votes

Evaluating ${\int_{0}^{1}\sqrt{1+\frac{1}{3x}}\text{ d}x}$ using $\int f^{-1}(x)dx=x f^{-1}(x)-F(f^{-1}(x))+C$

3 votes

Evaluate $\int_0^\infty \frac{t^2 - \sin^2 t}{t^4} dt$

3 votes
Accepted

Double Integrals - Region delimited by triangle in counterclockwise

3 votes
Accepted

Using L'Hospital rule, how do we tell that $\int_0^x \sin^{-1} (t^2) dt =0$?

3 votes
Accepted

$\int_{-\infty}^\infty \frac{e^{ax}}{1+e^x}dx$ /estimation vertical lines

3 votes
Accepted

Closed form of integral $\int_{0}^{\infty}\frac{e^{-x}}{1+x/\cdots}dx$ with continued fraction

2 votes

Indefinite integration $f(x) = \int e^{x^4}{(1+x^2+2x^4)}\,d(e^{x^2}) $

2 votes

Proving $\int_0^\infty\frac1{1+e^{px}}dx=\frac{\ln2}p$

2 votes

Work of a vector field along a curve

2 votes

Residue when computing $\int_{\gamma} \frac{\cos(z)}{z-1} dz$

2 votes
Accepted

How do I compute the characteristic function of the random variable with distribution function $F_X(x)=e^x/(1+e^x)$?

2 votes

Find $\frac{d}{dx}(e^{\sin(4x)})$

2 votes
Accepted

How to manipulate differential equation into Weierstrass P form?

2 votes

Integrating $y' = \sin^2 y$

2 votes
Accepted

Find the parameterization of shadow cast on plane

2 votes

Evaluation of $\iint_{x^2-xy+y^2\leq1}(x-y)^2\mathrm{d}x\mathrm{d}y$

2 votes
Accepted

Methods of integration

2 votes

why can you rewrite $\sqrt{\sec^2(x)}$ as $|\sec(x)|$?

2 votes
Accepted

Deriving equation for $P(A\cup B \cup C \cup D)$

2 votes

Is this integral possible? $\int \frac{e^{-e^{x}}}{x^2}\sin(\frac{1}{x})dx$

2 votes

Need help with finding the correct region for this double integral

2 votes
Accepted

Simplify an algebraic sum involving $\frac{1}{x^n}$

1 vote

Geometry - Solve a system of equations (maybe using WA or another CAS)

1 vote

Compute the integral $\int_{\gamma}^{}\frac{2z}{(z+1)(z+3)}$

1 vote

Number of complex roots of the equation $x^n=a, a\ge 0$