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So when you compare the "area under the graph" of $\sin (x)$ from $ [a,b]$ you are just looking at $-\cos (b) + \cos (a)$ rather than the area of the graph for the $-\cos (x)$. Actually you should look up …

Jun 27, 2018 · Integrate by parts on $\sin^mx\cos x$, which is immediate, to establish a recurrence relation.

Feb 23, 2016 · Also see Evaluate $\int \cos (\cos x)~dx$ and Integral of $\cos (\cos x)$ over $ [0,2\pi]$.

Mar 12, 2016 · How can I evaluate ; $$\int \frac {\cos (x)} {x} \, dx $$ I tried to do partial integration but it became to an infinite loop of partial integrations

Jun 18, 2023 · How do you integrate $$\\int \\frac{1}{a + \\cos x} dx$$ Is it solvable by elementary methods? I was trying to do it while incorrectly solving a homework problem. But, I couldn't find the …

Mar 7, 2012 · 7 This integral doesn't have a nice closed-form solution in terms of elementary functions, so this question is impossible (assuming you're just supposed to find the antiderivative in a form …

Mar 4, 2015 · You want to calculate ∫1/60 0 cos(120πt)dt ∫ 0 1 / 60 cos (120 π t) d t, right? Can you maybe change the variable t t such that you can use one of your standard integrals (the second of …

Nov 30, 2018 · If I want to compute the integral of this function but from $ [0,k\pi]$. Can I use parity of the function to integrate from $0$ to $\pi/2$ and then use Wallis formula?