Why is $\int_{-\infty}^\infty |\text{sinc}(t)|\ dt=\infty$?
83966
Does $ \int_0^{\infty}\frac{\sin x}{x}dx $ have an improper Riemann integral or a Lebesgue integral?
58456
Why is $ 1^{\infty} \not= \lim_{t \to \infty} 1^t = 1$?
79908
Show $\int_0^\infty \frac{e^{-x}-e^{-xt}}{x}dx = \ln(t),$ for $t \gt 0$
35319
I'm looking for several ways to prove that $\int_{0}^{\infty }\sin(x)x^mdx=\cos(\frac{\pi m}{2})\Gamma (m+1)$
44737
$ \int_{-\infty}^{\infty} x^4 e^{-ax^2} dx$
141516
Solve $\int_0^{+\infty} \Big(\frac{\sin t}{t}\Big)^2 \ dt$
28053
Integral of $\sin(e^t)dt$
122843
Finding $\int_0^\infty \frac{\cos(ax)-\cos(bx)}{x}dx$
67606
Derive Fourier transform of sinc function
68866
Is $\int_{-\infty}^{\infty} \sin x \, \mathrm{dx}$ divergent or convergent?
10070
Complex analysis: Calculating $\int_{-\infty}^{\infty} \frac{\sin x}{x} dx$ by using $f(z) = \frac{e^{iz} - 1}{iz}$
151127
Confirm that $\int_{0}^{\infty}t^{-1}\sin t dt=\pi/2$
44054
Evaluating the integral $\mathop{\lim}\limits_{n \to \infty} \int_{-1}^{1} f(t)\cos^{2}(nt) \ dt $
82391
Why does $\sum_{k=1}^{\infty}\frac{{\sin(k)}}{k}={\frac{\pi-1}{2}}$?
147662
For what values $s$ does $\int_{0}^{\infty} \frac{\sin x}{x^s}dx$ converge?
154612
$\int_{0}^{x} f(t) dt \ge {f(x)}$ holds or not on $[0,1]$
119209
Differentiation wrt parameter $\int_0^\infty \sin^2(x)\cdot(x^2(x^2+1))^{-1}dx$