Evaluating limits of improper integrals
1234
Evaluating limits of integrals
14012
The limit of a complex integral
156448
Evaluate the limit without using the L'Hôpital's rule
105860
Evaluate the limit of $(n+1)\int_0^1x^n\ln(1+x)\,dx$ when $n\to\infty$
110208
limit of integral $n\int_{0}^{1} x^n f(x) \text{d}x$ as $n\rightarrow \infty$
137745
Substitution in determining limit of polynomials
93071
Is there a way to calculate the improper integral $\int_0^\infty \big(\frac{\ln x}{x - 1}\big)^2 dx$?
40272
Can we find a closed form for this integral?
116294
improper integral calculation
156231
Computing $\lim\limits_{n\to\infty} \int_{0}^{\infty}\frac{\sin(x/n)}{(1+x/n)^{n}}\, dx$
136305
Is it possible? improper integral no answer?
27002
Evaluating $\int\limits_0^{\pi} \frac{dx}{1+2\sin^2x}$
154286
Evaluating $\lim_{n \to \infty} (1 + 1/n)^{n}$
5402
Prove or the disprove the existence of a limit of integrals
156531
Evaluating the integral $\int_{-\infty}^\infty \frac{\sin^2(x)}{x^2}e^{i t x} dx$
25509
evaluation of an integral involving algebraic numbers
39798
Computing $\lim_{n \to \infty} \int_0^{n^2} e^{-x^2}n\sin\frac{x}{n}\,dx$?