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Problem 46 Hard Difficulty

Evaluate the indefinite integral. Illustrate, and check that your answer is reasonable, by graphing both the function and its antiderivative (take $ C = 0 $).

$ \displaystyle \int x^2 \sin 2x dx $

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Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

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Video Transcript

The problem is, you violated the definite, integral, illustrate and the check that your answer is reasonable. I crafting post function and its anti hero tive integral is into girl X X squared sine two ox. Next. But this problem with youse the integration by parts armor is internal of you being from the axe. It's the control New taps we wyness integral. You crime being Jax for our problem. We cannot. You asleep too? Explain. Had to be prom too fine to ACS then you promise they call to us. Hey, negative half call. Sign to ACS now. Just integral is Nico too. You can make use of this invective, huh? X squared times cause I two eyes and Linus into your prom perhaps we So this is class, Ext Eme Siecle. Sign two lakhs. Now for this integral. You can use your tickle rich in my purse looking like you is goto ice. No problem. I think for two. Sign to ACS. Then you promise one B is half fine. Two blocks. This is don't make half X squared. Co sign to lax. Plus you'd have sleaze. O, This is one half like Signe you like Linus into you're primetime sleaze, this one half fine. She likes the X. This is a call to makes you half X squared. Kasai q X plus one, no half x times, sine Teo arcs and plus my force Well, fine to life and plus to cast in the number C. This is an anti derivative. Off the function. Explain hams. Sign to ACS now by using some graphing tours. Weaken jowls of quaff off this two functions as follows. So Blue John is anti Semitic of the light curve, right? Like mad. Cute. Now is the test. The determinative of the blue Juan is right a while, so the while you have the right kids at some point is exactly the slope of a tanned in the line after the blue curve. At this point, now that's compile the Wadi off. Why? So why do you offer gliding curve? And it's a slowpoke tannin line. Have support. Okay, we can't see CIA to seem so Let's see when Axe goes from negative to to To slo por tan in a line of blow care goes from passive to zero. Two negative zero and two positive to zero Conectiv, and it's a while Yu off right accretive goes from passive to zero negative to their own positive zero intellect it So you have to sing. So our is out is reasonable.

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Problem

(a) Use the reduction formula in Example 6 to sho…

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Calculus: Early Transcendentals

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Video Transcript

James Stewart

Calculus: Early Transcendentals

Kayleah Tsai

Kristen Karbon

Michael Jacobsen

Joseph Lentino

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Calculus: Early Transcendentals

Kayleah Tsai

Kristen Karbon

Michael Jacobsen

Joseph Lentino

James StewartCalculus: Early Transcendentals

Kayleah Tsai

Kristen Karbon

Michael Jacobsen

Joseph Lentino

James Stewart

Calculus: Early Transcendentals