💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!



Numerade Educator



Problem 23 Easy Difficulty

Evaluate the integral.

$ \displaystyle \int_0^{\frac{1}{2}} x \cos \pi x dx $


$\frac{1}{2 \pi}-\frac{1}{\pi^{2}}$ or $\frac{\pi-2}{2 \pi^{2}}$


You must be signed in to discuss.

Video Transcript

The problem is, while it is this integral, integral from zero to behalf, Ext Eme Siecle sign Pi X yaks. With this problem, we can use my third over Inspiration by pars. And to go from a to B You with Mom. Jax, this is the country. You me from a to B minus The integral of you come three yaks from me to be now for our problem. Problem? We can let you. Is he caught you ice numbly Prime is going to assign. Hi, Max. Then you prom If we go to one and we is equal to one over pi times sign pi X now you wth integration by pars We have This is Echo two x times one over Pi sign. Hi, I'm slacks from zero to one half, minus the integral of you Prom times. These this on over pi sign. Hi. I the ax from zero to one half. First term this term it's cultural. This is Echo two with this term plowing behalf This is one over to pie and minus zero then minus the integral This oneness one over pi swine times Connective sign Hi Ice from zero to one half. This's equal to one. Over to pie. Last one. Over. Rice wine sign. Hi. Over too. Minus sign Zero, This is You could connect. You won this. The answer is one over a too high, minus one over. Hi squad.