Why do we have to use an integral in this scenario to figure out $v_{max}$?
2998
If it was possible to dig a hole that went from one side of the Earth to the other...
19658
$\max_{t\in[0,T]}|x(t)|^2 \le |x(0)|^2e^{\int_0^T|y|^2\,\mathrm ds}.$ using gronwall's lemma?
17566
line integral (multivariable calculus)
53536
Maximum value of $f(x) = \cos x \left( \sin x + \sqrt {\sin^2x +\sin^2a}\right)$
130670
Solving Integrals
40512
Usage of Assuming for Integration
142821
Why?$\int_0^1\int_{u(t)}^{u(t)+w(t)} f(t,v(t)) dv dt = \int_0^1 f(t,u(t)+\theta w(t))w(t) dt; ~~\theta\in[0,1] $
102825
Why change the sign of the integral when switching the limits of integration?
95145
Does $\exp(2ir\pi)$ equal $1$? What's wrong?
48920
Mean value theorem for integrals: how does the sign matter?
65924
Logarithmic variables being used while integrating.
23891
Expected value of max function
44724
Intuition Behind Maximum Principle (Complex Analysis)
30507
What is the intuitive meaning of line integral with respect to x?
108776
How to integrate $\int \frac{ev+f}{av^2 + bv +c} dv$?
123532
An incorrect answer for an integral
149050
Multivariable Integral, How to compute it?