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 {\cos (ax + b)dx = \frac{1}{a}} ...

Remember that integration is the inverse procedure to differentiation. So, if you can do trigonometric differentiation, you can do trig integration.

This is a preview. Log in through your library . Abstract We consider a Galerkin method for functional equations in one space variable which uses periodic cardinal splines as trial functions and ...

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 ...