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



Numerade Educator



Problem 28 Hard Difficulty

Evaluate the integral.

$ \displaystyle \int_0^{2 \pi} t^2 \sin 2t dt $


$-2 \pi^{2}$


You must be signed in to discuss.

Video Transcript

The problem is you want No. It is integral Integral from zero to two pie He squired hams Sign Tuti, didn't he? But this problem, we can use my third of the integration by parts The farmer is into girl from a to B You come from a crumb? He x If you go to you come three from hate being minus the integral I'm paid to be you. Prom time Savi yaks Our problem we cannot you is equal to he's squire on Dwi prom Is Nico to sign? Sure. Then you promise Legal to Truchi and we think about you. Negative one half sign thirteen now by this family this integral is he Go to utensil. Lisa, this is negative. One half his squire who signed John T from zero to high minus integral off you prom times We'd This's shoot. I'm selective. One half sign to tea. He from zero to too high. This is the control. The first, the term we're plugging to pie on zero to tea. This's the control. Negative. Well, half times Opie Squire minus. There's a class into girl from there Too high. He hams signed truth here in here now felt fists into girl. We can also use integration. Their parts like you is equal to he. We promise you go to co sign to the and then you prom. It's even want on Vesey Goto Behalf hams sign to tea. So this is the culture. The first two term is negative. Two pi square, then plus you temps. We is one half need cams signed two t from zero to you pie minus into girl of your prom times. Liza, this is half sign to a T E T. From zero to to pie. Now, this is the CO two next to two Pi squire on DH. This term is equal to zero. This is minus one Force sign shoot from their own to Opie. Ondas Under is negative two Pi squire Andi Myers one Force Juan Months Juan. The answer is negative. Too high square.