User Peter

10 votes

Iterated integral question

answered Apr 15, 2017 at 6:20

5 votes

$\int_0^{\infty} \frac{x^{k_1}}{\left(x^{n_1} + a_1 \right)^{m_1}} \cdot \frac{x^{k_2}}{\left(x^{n_2} + a_2 \right)^{m_2}}\:dx$

answered Feb 7, 2019 at 7:40

4 votes

Evaluate $\int^{2}_{0}\frac{\tan^{-1}(x)}{1+4x}\mathrm dx$

answered May 26, 2019 at 2:43

3 votes

Evaluate $\int^{2}_{0}\frac{\tan^{-1}(x)}{1+4x}\mathrm dx$

answered May 23, 2019 at 8:14

3 votes

How do I integrate these functions?

answered Jan 20, 2018 at 8:22

2 votes

Evaluating $\int\frac{x^b}{1+x^a}~dx$ for $a,b\in\Bbb N$

answered Sep 2, 2017 at 23:47

2 votes

Accepted

Use fourier transform to solve second-order differential equation -- an "easy" integral?

answered Oct 23, 2015 at 0:25

1 vote

$\int \frac{dx}{a\sin x + b \cos x} $ using complex numbers

answered Oct 23, 2015 at 0:48

1 vote

Accepted

How to find$\int{x\ln^{3}(x)}{dx}$ with change of the variable?

answered Nov 14, 2015 at 11:23

1 vote

Evaluate $\int_0^\pi \sin^4\left(x+\sin (3x)\right)~dx$

answered Jun 2, 2023 at 3:08

1 vote

How to compute the indefinite integrate of n-th tetration of x?

answered May 31, 2019 at 3:36

1 vote

Conjugates of complex numbers

answered Oct 22, 2015 at 23:44

1 vote

Gaussian with exponential variance from Cinlar's book.

answered Aug 30, 2022 at 9:11

0 votes

Accepted

Integration multi dimension exp function

answered Jun 5, 2019 at 4:28

0 votes

Contour integral.

answered Dec 30, 2015 at 5:20

0 votes

Calculate $\lim\limits_{n\rightarrow \infty} \int\limits_0^\infty \frac{n^2 \sin(x/n)}{n^3x + x(1 + x^3)} \, d x$

answered Dec 6, 2017 at 7:24

0 votes

How to compute this integral involving trig?

answered Mar 1, 2018 at 4:14

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17 Answers

Iterated integral question

$\int_0^{\infty} \frac{x^{k_1}}{\left(x^{n_1} + a_1 \right)^{m_1}} \cdot \frac{x^{k_2}}{\left(x^{n_2} + a_2 \right)^{m_2}}\:dx$

Evaluate $\int^{2}_{0}\frac{\tan^{-1}(x)}{1+4x}\mathrm dx$

Evaluate $\int^{2}_{0}\frac{\tan^{-1}(x)}{1+4x}\mathrm dx$

How do I integrate these functions?

Evaluating $\int\frac{x^b}{1+x^a}~dx$ for $a,b\in\Bbb N$

Use fourier transform to solve second-order differential equation -- an "easy" integral?

$\int \frac{dx}{a\sin x + b \cos x} $ using complex numbers

How to find$\int{x\ln^{3}(x)}{dx}$ with change of the variable?

Evaluate $\int_0^\pi \sin^4\left(x+\sin (3x)\right)~dx$

How to compute the indefinite integrate of n-th tetration of x?

Conjugates of complex numbers

Gaussian with exponential variance from Cinlar's book.

Integration multi dimension exp function

Contour integral.

Calculate $\lim\limits_{n\rightarrow \infty} \int\limits_0^\infty \frac{n^2 \sin(x/n)}{n^3x + x(1 + x^3)} \, d x$

How to compute this integral involving trig?