query: Maximum of an integral that depends on a parameter
positive_passages.docid: 782
positive_passages.text: What are the most common pitfalls awaiting new users?
negative_passages.docid: 139742
negative_passages.text: Bounding the integral $\int_{2}^{x} \frac{\mathrm dt}{\log^{n}{t}}$
negative_passages.docid: 44269
negative_passages.text: If $f$ is nonnegative and continuous on $[a,b]$, then $\left(\int_a^b f(x)^n \ dx\right)^{1/n}\to\max\limits_{[a,b]} f$
negative_passages.docid: 44607
negative_passages.text: Prove that a continuous function on a closed interval attains a maximum
negative_passages.docid: 53536
negative_passages.text: Maximum value of $f(x) = \cos x \left( \sin x + \sqrt {\sin^2x +\sin^2a}\right)$
negative_passages.docid: 137301
negative_passages.text: To find the minimum of $\int_0^1 (f''(x))^2dx$
negative_passages.docid: 87373
negative_passages.text: Setting up limits of integration in this double integral
negative_passages.docid: 98710
negative_passages.text: Finding $\int_0^{\infty}xe^{-\lambda x} \, dx$
negative_passages.docid: 43419
negative_passages.text: At unique critical point, does local max imply global max?
negative_passages.docid: 24716
negative_passages.text: $\int_0^\infty\frac{\log x dx}{x^2-1}$ with a hint.
negative_passages.docid: 103374
negative_passages.text: A Problem on Improper Integrals
negative_passages.docid: 14012
negative_passages.text: The limit of a complex integral
negative_passages.docid: 155865
negative_passages.text: Expectation of the Maximum of iid Gumbel Variables
negative_passages.docid: 44724
negative_passages.text: Intuition Behind Maximum Principle (Complex Analysis)
negative_passages.docid: 129343
negative_passages.text: What is the maximum value of $|f(z)|$ on the unit disc $D=\{z \in \mathbb C:|z|\leq 1\}$?
negative_passages.docid: 153798
negative_passages.text: Problem involving maximum and minimum of a continuous function
negative_passages.docid: 19845
negative_passages.text: Mean Value Theorem for Integrals