query: Question about integration
positive_passages.docid: 142821
positive_passages.text: 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] $
negative_passages.docid: 32672
negative_passages.text: Integrating :$\int_{0}^{1} \frac{x^{b}-x^{a}}{\log(x)}\sin(\log(x))dx$
negative_passages.docid: 118929
negative_passages.text: Why is integration the inverse of differentiation
negative_passages.docid: 129318
negative_passages.text: Integrate via substitution and derivation rule
negative_passages.docid: 137648
negative_passages.text: What is the mistake in doing integration by this method?
negative_passages.docid: 38935
negative_passages.text: What is integration by parts, really?
negative_passages.docid: 27754
negative_passages.text: Is integration from $a$ to $b$ same or $b$ to $a$ or is negative?
negative_passages.docid: 133337
negative_passages.text: A little integration paradox
negative_passages.docid: 32270
negative_passages.text: Integral depending on a parameter
negative_passages.docid: 152358
negative_passages.text: integration using residue
negative_passages.docid: 20131
negative_passages.text: Integration inside and outside of NDSolve
negative_passages.docid: 99457
negative_passages.text: How to integrate $\int x\sin {(\sqrt{x})}\, dx$
negative_passages.docid: 89320
negative_passages.text: Problem with indefinite integration
negative_passages.docid: 145403
negative_passages.text: Stuck in integration: $\int {\frac{dx}{( 1+\sqrt {x})\sqrt{(x-{x}^2)}}}$
negative_passages.docid: 12010
negative_passages.text: Integration by partial fractions; how and why does it work?
negative_passages.docid: 119700
negative_passages.text: Integrating real valued functions
negative_passages.docid: 75067
negative_passages.text: Compute this integral