Integration proof: sin(1/x) is integrable
123230
If $f$ is integrable and bounded over $[\delta,1]$ for all $\delta \in (0,1]$ then is $f$ integrable over all of $[0,1]$ $?$
148826
Integral of $ 1 \, / \, (1 + a \, \cos(x) )$
72036
Closed form of $\int_0^\infty \sin(x)\sin\left(\frac{1}{x}\right)dx$?
4693
what is the$ \int \sin (x^2) \, dx$?
60182
Evaluate $\int\frac{1}{\sin(x-a)\sin(x-b)}\,dx$
112951
Improper integral $\sin(x)/x $ converges absolutely, conditionaly or diverges?
38005
Integral of $\sin (x^3)dx$
20476
Today a student asked me $\int \ln (\sin x) \, dx.$
151127
Confirm that $\int_{0}^{\infty}t^{-1}\sin t dt=\pi/2$
22099
Integrate $e^{ax}\sin(bx)?$
301
Prove: $\int_0^\infty \sin (x^2) \, dx$ converges.
11129
Show that $\int_0^ \infty \frac{1}{1+x^n} dx= \frac{ \pi /n}{\sin(\pi /n)}$ , where $n$ is a positive integer.
28053
Integral of $\sin(e^t)dt$
23685
Integrating $\int \sin^n{x} \ dx$
84420
When is $\sin(x) = \cos(x)$?
146579
What is the right first step to take when integrating $1/(2+ \sin x + \cos x)$?
13747
Proof of $\int_0^\infty \frac{\sin x}{\sqrt{x}}dx=\sqrt{\frac{\pi}{2}}$