query: Definite integral of general polylogarithm
positive_passages.docid: 151400
positive_passages.text: Closed-form of $\int_0^1 \operatorname{Li}_p(x) \, dx$
negative_passages.docid: 54638
negative_passages.text: Integral $\int^{ \pi /2}_{0} \ln (\sin x)\ dx$
negative_passages.docid: 126236
negative_passages.text: General closed form of $\int_{0}^{\theta_0} \frac{1}{\sqrt{\cos \theta-\cos \theta_0}} d\theta$
negative_passages.docid: 59532
negative_passages.text: Evaluation of this integral.
negative_passages.docid: 10168
negative_passages.text: Ramanujan log-trigonometric integrals
negative_passages.docid: 41416
negative_passages.text: Integrating $ \int_2^4 \frac{ \sqrt{\ln(9-x)} }{ \sqrt{\ln(9-x)}+\sqrt{\ln(x+3)} } dx. $
negative_passages.docid: 45803
negative_passages.text: Integral of Derivative squared
negative_passages.docid: 68241
negative_passages.text: Integral $\int_0^1 \frac{\ln(1-x)\ln(1+x^2)}{x}dx$
negative_passages.docid: 115089
negative_passages.text: Definite Integral: $\int_0^1\frac{x^{2} -1}{\log x}\,dx$
negative_passages.docid: 86857
negative_passages.text: Integrate $\int_{0}^{2\pi}\log|1-e^{i\theta}| d\theta$
negative_passages.docid: 148260
negative_passages.text: Polylogarithms of negative integer order
negative_passages.docid: 98678
negative_passages.text: Finding the following definite and indefinite integrals
negative_passages.docid: 154183
negative_passages.text: Proof of a Ramanujan Integral
negative_passages.docid: 25162
negative_passages.text: Differentiating Definite Integral
negative_passages.docid: 58616
negative_passages.text: A generalization for Serret's integral $\int_0^a \frac{\ln(1+ax)}{1+x^2}dx$
negative_passages.docid: 121988
negative_passages.text: Asymptotic expansion of the complete elliptic integral of the first kind
negative_passages.docid: 116778
negative_passages.text: Calculation of an integral via residue.