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



Numerade Educator



Problem 38 Hard Difficulty

First make a substitution and then use integration by parts to evaluate the integral.

$ \displaystyle \int \cos (\ln x) dx $


$\frac{x(\cos (\ln x)+\sin (\ln x))}{2}+\mathrm{C}$


You must be signed in to discuss.

Video Transcript

The problem is our first make a substitution on DH then youth integration parse the violent defence girl So the integral is call Sign out in next ex first are using substitution We can light you is yeah just another were reveling can use Why it's cultural How in nice then you want It's the cultural one over axe yaks Then it's into girl call sign Thanks The yaks It's Niko too into girl Axe you! Why is one of Iraq's DX thirty x is ex Toms Ugh! Why Axe Times could sign. Why? Why And things? Why is the cultural and Max So Max is a cultural? Each was Why is it you two? Why consign? Why? Yeah, why now? We can use integration of pars But the formula of integration part is into grow off you from the axe. It's the cultural you'd have to be minus into girl You prom times three jacks. Now for our problem, we can let you It's the control. Eat two. Why? And be prime! It's the cultural sign. Why, then you prom? Is the coat too? You too? Why and re is cultural sign. Why now? This internal kowtow Ito, Why sign. Why? Minus into go. You know why? Sign? Why? Why now? For this integral we can use integration my past again Like you. This is Echo two. Why? Honoree Prom is equal to sign. Why then? You prom? It's the cultural youto Why we have to may negative cause I am. Why now? This is unconscionable. Why? This is why, son. Why Linus? It's why Negative. Fine. Why? Minus into girl? Why make Tio final? Why? This is called Tio. Why sign? Why us? Why was signed? Why and Linus into girl. Why was saying why? Why notice inside consistent This Indian girl on this is integral as a seam So we can move this term to red hand side to the left hand side. Then we have two times into girl. Why consign Why? Why city called too? It's why sign? Why plus why timeline Self painting off into Why consign white? Why yes. This one over two thiss is integral off. Assign Alan Bax Dex so and win you Teo Come word. Why back to l A. Next? There it is. You too. It's wise acts and sign our necks. Last thanks Terms. Sign. I own necks over two. This's the answer