Integral of a continuous function
71071
Nonzero $f \in C([0, 1])$ for which $\int_0^1 f(x)x^n dx = 0$ for all $n$
119700
Integrating real valued functions
10790
Integration of a function with respect to another function.
17454
Evaluate the integral $\int_0^n \frac{f(x)}{f(x) + f(n-x)}dx $
117528
$f$ is bounded and continious $\Rightarrow$ the convolution integral $\int f(\tau)g(x-\tau)\text{ d}\tau$ is bounded and continuous
90095
Integrate $\int_0^{\infty } \frac{\cos x}{x} dx$
75735
Let $f$ be a continuous function on an interval around $0$ and let $a_i=f(\frac{1}{i})$ (for large enough $i$)
35496
Symmetry of function defined by integral
129947
Integral of $\log(\sin(x))$ using contour integrals
42853
If $f \geq 0$ is continuous and $\int_{a}^{b} f(x) \, dx = 0$, then $f =0$
145233
How to show $\lim_{n \rightarrow \infty} \int_0^1 n x^n f(x) \; dx = f(1)$ for continuous $f$?
21375
The integral $\int_0^\infty \dfrac{x \sin(x)}{x^2+1} dx$
32270
Integral depending on a parameter
39235
Argue that the iterated integral of a continuous function is continuous
20021
Convolution integral $\int_0^t \cos(t-s)\sin(s)\ ds$
106531
A Fourier transform of a continuous $L^1$ function
130670
Solving Integrals