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Peter's user avatar
Peter
  • Member for 9 years, 3 months
  • Last seen more than a month ago
  • Novosibirsk, Russia
10 votes

Iterated integral question

5 votes

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

4 votes

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

3 votes

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

3 votes

How do I integrate these functions?

2 votes

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

2 votes
Accepted

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

1 vote

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

1 vote
Accepted

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

1 vote

Conjugates of complex numbers

1 vote

Gaussian with exponential variance from Cinlar's book.

1 vote

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

1 vote

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

0 votes
Accepted

Integration multi dimension exp function

0 votes

Contour integral.

0 votes

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

0 votes

How to compute this integral involving trig?