query: What Integral Measures When we calculate integral of Functions from $[a,b]$ to $\mathbb{C}$?
positive_passages.docid: 52864
positive_passages.text: Line integration in complex analysis
negative_passages.docid: 47498
negative_passages.text: Integration and theorems on continuous functions
negative_passages.docid: 157322
negative_passages.text: Translation invariant measures on $\mathbb R$.
negative_passages.docid: 23018
negative_passages.text: Integral $\int_a^\infty \frac{\arctan(x+b)}{x^2+c}dx$
negative_passages.docid: 109301
negative_passages.text: Lebesgue Integral of Non-Measurable Function
negative_passages.docid: 73489
negative_passages.text: How is the Integral of $\int_a^bf(x)~dx=\int_a^bf(a+b-x)~dx$
negative_passages.docid: 18126
negative_passages.text: If $f \colon [a,b] \rightarrow \mathbb{R}$, then show that there exists $c \in [a,b]$ such that $\int_a^c f = \int_c^b f$
negative_passages.docid: 147144
negative_passages.text: Integral of triangular relation
negative_passages.docid: 109311
negative_passages.text: Integral of a CDF
negative_passages.docid: 148826
negative_passages.text: Integral of $ 1 \, / \, (1 + a \, \cos(x) )$
negative_passages.docid: 35496
negative_passages.text: Symmetry of function defined by integral
negative_passages.docid: 40047
negative_passages.text: Is $\int_a^b f(x) dx = \int_{f(a)}^{f(b)} f^{-1}(x) dx$?
negative_passages.docid: 2776
negative_passages.text: What can be said about the integral part of $(a+\sqrt{b})^n $
negative_passages.docid: 75067
negative_passages.text: Compute this integral
negative_passages.docid: 58013
negative_passages.text: Integral of Even and Odd functions
negative_passages.docid: 121406
negative_passages.text: Interesting Integration with respect to $[x]$ where $[\cdot]$ is greatest integer function
negative_passages.docid: 49554
negative_passages.text: Physical meaning of this integral in $k$-space