User Henry Lee

11 votes

2 answers

390 views

Integral involving $\tan(\ln(x))$

integration

asked Jul 6, 2019 at 22:29

8 votes

5 answers

405 views

How to integrate $\int_0^1\frac{dx}{1+x+x^2+\cdots+x^n}$

asked Dec 23, 2020 at 17:45

6 votes

1 answer

211 views

inverse function of $f(x)=x^{x^x}$

algebra-precalculus inverse-function lambert-w

asked Jun 11, 2020 at 1:25

6 votes

3 answers

709 views

Proof of $\int_{0}^{\pi}\cos^n(x)\cos(nx)dx=\frac{\pi}{2^n}$

integration complex-analysis

asked Aug 4, 2018 at 23:02

5 votes

0 answers

280 views

$\int_2^4\frac{\sqrt{\ln(9-(6-x))}}{\sqrt{\ln(9-x)}+\sqrt{\ln(3+x)}}dx$ (Now solved) [closed]

calculus integration

asked Sep 16, 2018 at 19:45

5 votes

4 answers

1k views

$\int{\cos(x)\cosh(x)+\sin(x)\sinh(x)}dx$

integration

asked May 23, 2018 at 19:06

4 votes

4 answers

183 views

$\int_0^{\pi/2}\frac{1}{1+\tan^{n}x}dx$

calculus integration

asked Oct 7, 2018 at 15:23

4 votes

2 answers

441 views

$\int_0^\frac{\pi}{2}\frac{\ln(\sin(x))\ln(\cos(x))}{\tan(x)}dx$

integration

asked Sep 15, 2018 at 22:07

4 votes

0 answers

86 views

$\int_{-\infty}^{\infty} (x+1)(x-1)e^{-(x+1)^2(x-1)^2}$

integration numerical-methods

asked Jan 12, 2019 at 14:07

4 votes

2 answers

984 views

Evaluating limits of nested functions

calculus limits

asked Apr 4, 2019 at 1:38

4 votes

3 answers

227 views

solution to a general integral $\int_0^\infty \frac{\cos(tx)}{x^2+k^2}e^{-sx}dx$

integration ordinary-differential-equations partial-differential-equations definite-integrals leibniz-integral-rule

asked Jul 13, 2020 at 20:12

4 votes

2 answers

79 views

finding bounds for $\int_0^X\lfloor x^2\rfloor \, dx$

integration ceiling-and-floor-functions upper-lower-bounds

asked Aug 30, 2020 at 16:42

4 votes

2 answers

794 views

Fourier transform of piecewise function

integration fourier-transform hyperbolic-functions

asked Apr 17, 2021 at 16:57

3 votes

1 answer

73 views

Fourier sine transform problem

integration partial-differential-equations fourier-transform

asked May 9, 2021 at 12:40

3 votes

1 answer

94 views

Finding specific values of $\ln(x)$

numerical-methods logarithms

asked Jul 17, 2019 at 19:30

3 votes

5 answers

438 views

Power tower of $10$

real-numbers

asked Mar 30, 2018 at 15:37

3 votes

1 answer

500 views

Evaluating $\int\sqrt{1+\sin x}dx$. [duplicate]

calculus integration

asked May 18, 2018 at 11:28

2 votes

1 answer

410 views

Inverse of $x^x$ using Lambert W function

calculus algebra-precalculus lambert-w

asked Oct 24, 2018 at 0:17

2 votes

1 answer

52 views

Proof of complex integrals involving trigonometic functions

integration complex-analysis

asked Jan 15, 2019 at 1:37

2 votes

1 answer

94 views

$\int\frac{\sin(x)}{\arcsin(-x)}dx$

integration

asked Mar 19, 2019 at 23:51

2 votes

1 answer

73 views

integral of fractional part $\int_0^1\left\{\frac 1x\right\}dx$ convergent?

integration summation fractional-part

asked Jun 4, 2020 at 12:55

2 votes

0 answers

91 views

Higher dimensions of the gauss integral to calculate product of determinate integral of sines

integration products

asked Jun 4, 2020 at 15:03

2 votes

1 answer

28 views

Writing this concatenating decimal as a series/fraction

summation

asked Dec 17, 2020 at 22:07

2 votes

0 answers

17 views

Defining boundary conditions clearly

soft-question math-software

asked Mar 15, 2021 at 16:20

1 vote

1 answer

59 views

Best notation for partial derivatives [closed]

notation soft-question partial-derivative

asked Apr 19, 2021 at 2:47

1 vote

1 answer

356 views

natural logarithm of a complex number $\ln(a+bi)$

complex-numbers

asked Jun 21, 2020 at 17:36

1 vote

1 answer

30 views

trace of a 2x2 matrix with itself transposed $\operatorname{tr}(uu^T)=\sum a_{ij}^2$

matrices

asked Jun 11, 2020 at 19:42

1 vote

2 answers

67 views

Why is $\det(J)$ used when changing coordinates from (x,y) to (u,v)

integration multivariable-calculus jacobian change-of-variable

asked Jun 14, 2020 at 22:04

1 vote

4 answers

55 views

$\lim_{|z|\to\infty}e^{-z}$

limits complex-numbers

asked Jul 1, 2019 at 15:03

1 vote

2 answers

191 views

divergent vs undefined integrals/summations

soft-question

asked Dec 4, 2020 at 21:30

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88 Questions

Integral involving $\tan(\ln(x))$

How to integrate $\int_0^1\frac{dx}{1+x+x^2+\cdots+x^n}$

inverse function of $f(x)=x^{x^x}$

Proof of $\int_{0}^{\pi}\cos^n(x)\cos(nx)dx=\frac{\pi}{2^n}$

$\int_2^4\frac{\sqrt{\ln(9-(6-x))}}{\sqrt{\ln(9-x)}+\sqrt{\ln(3+x)}}dx$ (Now solved) [closed]

$\int{\cos(x)\cosh(x)+\sin(x)\sinh(x)}dx$

$\int_0^{\pi/2}\frac{1}{1+\tan^{n}x}dx$

$\int_0^\frac{\pi}{2}\frac{\ln(\sin(x))\ln(\cos(x))}{\tan(x)}dx$

$\int_{-\infty}^{\infty} (x+1)(x-1)e^{-(x+1)^2(x-1)^2}$

Evaluating limits of nested functions

solution to a general integral $\int_0^\infty \frac{\cos(tx)}{x^2+k^2}e^{-sx}dx$

finding bounds for $\int_0^X\lfloor x^2\rfloor \, dx$

Fourier transform of piecewise function

Fourier sine transform problem

Finding specific values of $\ln(x)$

Power tower of $10$

Evaluating $\int\sqrt{1+\sin x}dx$. [duplicate]

Inverse of $x^x$ using Lambert W function

Proof of complex integrals involving trigonometic functions

$\int\frac{\sin(x)}{\arcsin(-x)}dx$

integral of fractional part $\int_0^1\left\{\frac 1x\right\}dx$ convergent?

Higher dimensions of the gauss integral to calculate product of determinate integral of sines

Writing this concatenating decimal as a series/fraction

Defining boundary conditions clearly

Best notation for partial derivatives [closed]

natural logarithm of a complex number $\ln(a+bi)$

trace of a 2x2 matrix with itself transposed $\operatorname{tr}(uu^T)=\sum a_{ij}^2$

Why is $\det(J)$ used when changing coordinates from (x,y) to (u,v)

$\lim_{|z|\to\infty}e^{-z}$

divergent vs undefined integrals/summations