Note: This only works when \(x\) is measured in radians. We are now going to look at more complex trigonometric functions where we will use the general rule: \(\int ...

Research in inequalities and integrals within the realm of fuzzy and interval-valued functions has advanced our understanding of uncertainty quantification and non-linear analysis. This field ...

SINCE the publication of Prof. Zygmund's “Trigonometric Series” in 1935, there has been considerable demand for another book dealing with trigonometric integrals. Prof. Titchmarsh's book meets this ...

Let $\gamma: \lbrack -1, 1 \rbrack \rightarrow R^n$ be an odd curve. Set $$H_\gamma f(x) = PV \int f(x - \gamma(t)) (dt/t)$$ and $$M_\gamma f(x) = \sup h^{-1} \int^h ...

In this paper, few integrals have been evaluated by the application of the integrals of Gamma functions which involve Fox's H-functions. Infinite integrals of Meijer's G-function and Hypergeometric ...