How was this integral with functions as limits solved?
35445
Leibniz rule derivation
144018
Integration by parts for f(x).g(x)
42817
proving $\lim\limits_{n\to\infty} \int_{0}^{1} f(x^n)dx = f(0)$ when f is continous on [0,1]
120705
How to find integration with Unknown
67953
Finding the asymptotic of an integral
4224
Evaluate limit of an integral: $\lim_{x\to \infty }\frac{1}{x}\int _0^x\:\frac{dt}{2+\cos t}$
3966
Are all limits solvable without L'Hôpital Rule or Series Expansion
122301
Evaluating and proving $\lim\limits_{x\to\infty}\frac{\sin x}x$
18458
How to plot the result of this singular integral?
66304
How to evaluate these integrals by hand
102147
Limit question related to integration
156231
Computing $\lim\limits_{n\to\infty} \int_{0}^{\infty}\frac{\sin(x/n)}{(1+x/n)^{n}}\, dx$
129318
Integrate via substitution and derivation rule
64628
Solving limits of a sine wave $\lim_{x\to+\infty}\frac{\sin(x)}{x}$
110208
limit of integral $n\int_{0}^{1} x^n f(x) \text{d}x$ as $n\rightarrow \infty$
49460
Find the limit of the given function
29476
Double integral with transformation; possible error in limits