find-the-indefinite-integrals-int-cos-theta-d-theta

Question

Find the indefinite integrals.
$$\int \cos 	heta d 	heta$$

Linh Vu · Accepted Answer

notified Inducted to go on this question cost 70 Tante Tita. Yeah, and we&#x27;re trying to do that. The river, The underside t top. You should get equal exam Nickel set eater with me. This one for the answer is simply equal Genocide, Tita. And don&#x27;t forget you press the constancy and the end.

Margaret Keymakh · Answer

everything back to you are you know that break? That&#x27;s of this case. No reversing Ever knew The first step is to So we have the integral minus. What? Now? Go. Yes. So the first part is really easy. We just have to go and rain just fly universe powerful so way have you know, to the first powers we&#x27;re gonna add one to the exploded and then divide by it. So we get Ada, I swear, over too. And it&#x27;s an indefinite, integral. So you can&#x27;t forget the pussy and through this part is gonna be a little bit tricky because you have to use U substitution. This case argue is where do you want my data? So we say that you is equal to one minus data. You take the drone of both sides, get do you is equal to negative data. That means negative to you is equal to de puta. This means that when we plug in you for one minus data, we can just change the sign in front of the integral. So this gives me up this attraction sign here, so it&#x27;s gonna be a plus instead of minus. So let&#x27;s substitute. And for one mice data get plus the integral of cose I you do you, um And now we can actually evaluate this part of the integral. So you get Ada squared over too us. See, plus sign. So I was gonna be sign of you, but I could just plug back in right away so we don&#x27;t to rewrite the whole thing. So sign of one minus data. Fussy. Oh, and so notice we have to seize here. But this is just an arbitrary constant, so we can just write one. See, You don&#x27;t have to. Um So let&#x27;s rewrite Just for our final answer, we get data squared over too plus side of one minus data. Let&#x27;s see. And this is our indefinite integral.

Kyler Gray · Answer

alright for problem to we to integrate this, but we can&#x27;t do it in its current forms. We&#x27;re gonna have to use integration by parts which, if you don&#x27;t remember, is integral of you. Devi is equal to U V minus and girl of evey you. So we&#x27;re gonna make you call death data on. We&#x27;re gonna make TV equal to co sign Pi fada, diphtheria. And so now if we take the derivative here, do you just gonna meet death data on Weaken? Step up here. So integrate. So we&#x27;re going to get sign of pi theta and then normally would have to account for chain rule for your taking a derivative. So going back up, you need to divide this by pie, right? Because if we were multiplied by pi for change rule, you can split out So one over pi It&#x27;s now we can go ahead and assemble this and we get Fada times V, which is one over pi. So if they&#x27;d over pie sign I theater and then all this is gonna be minus the integral V. So one over pi will pulled out front one over Pi signed by data data, right? That&#x27;s our deed to use Just di vita. So there we go. Now we can go ahead and actually integrate this zero over pie or sorry data over by sign by data minus one over pi. And when we integrate this, we just get co sign. Sorry. Negative co sign. And then also we have to do one over pi on all that is policy, and I am makes multiple mistakes here. Uh, co sign of Pi theta plus. See? There we go. So now we can go ahead and distribute this. We get data over pie signed by later minus then that becomes a plus when we distribute one over pi squared Times co sign of Pie Vega policy. And there we go.

Amrita Bhasin · Answer

we know that you is co signed data, Which means that sign date of the derivative promise teeth data is negative. G you. Which means we have night of times the control of you Cube, do you? Which gives us negative. You to the fourth over. Four plus C Now we can back. Substitute you is co sign beta, okay?

Katie Elliott · Answer

In order to evaluate the center roll, we&#x27;ll use integration by parts with you equal toe Seita and Devi equal to co sign data. Sorry, Coastline of pipe Ada Di data. So then do you While the derivative of data is just your data and defined we we need to integrate co signed by data data that integral is one over pi Sign of pi beta So are integral becomes we need you Devi So we get Seita over pi times Sign of pi theta minus the integral of Mrs VD You so one over pi sign of pi theta d data Now the integral of one of her prior sign of pi theta d data is one over pi squared of coastline pi beta for a final answer of Theda over pi times Sign of pi theta plus one over pi squared times coastline a pi beta plus c

Vikash Ranjan · Answer

indeed the love she die by dating. This is equal whom Tita dealer cost minus into Get off. Did you know? Of course. UNDATED becomes Thio Sign by By my lesson, Wando Sign by teacher by interviews You die or by a sign Fine team down my ass Won over by into minus Bye, Sissy! So does the guy&#x27;s Thio sign plus one of our bias fire Go!

Problem

Find the indefinite integrals. $$\int\left(\frac{…

Problem 72 Medium Difficulty

Find the indefinite integrals.
$$\int \cos \theta d \theta$$

Answer

$\sin \theta+C$

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Deborah Hughes-Hallett, Patti Frazer Lock, Andrew M. Gleason

Applied Calculus

Catherine R.

Heather Z.

Kayleah T.

Samuel H.

Integration Review - Intro

Definite vs Indefinite

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$\sin \theta+C$

Applied Calculus

Catherine R.

Heather Z.

Kayleah T.

Samuel H.

Integration Review - Intro

Definite vs Indefinite

Deborah Hughes-Hallett, Patti Frazer Lock, Andrew M. GleasonApplied Calculus

Catherine R.

Heather Z.

Kayleah T.

Samuel H.

Deborah Hughes-Hallett, Patti Frazer Lock, Andrew M. Gleason

Applied Calculus