Problem

Integrate the functions. $$ e^{x}\left(\frac{1}{x…

01:18

Problem 18 Easy Difficulty

Integrate the functions.
$$
e^{x}\left(\frac{1+\sin x}{1+\cos x}\right)
$$

Answer

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Calculus 2 / BC

NCERT Class 12 Part 2 - Math

Chapter 7

Integrals

Section 6

Integration by Parts

Discussion

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Video Transcript

the number 18. And this we have to integrate it is the politics one place cynics by one place Cossacks. So this looks like that will come in the form of it is the borax. And this for me that the about X affects players F. Dash X. It seems that it can be in this form. So let us try and find out. Let us write one as sign Squire X x two. Just causes square X by two. And Synnex from double angle formula or half angle formula to sign X. By to play into Cause x by two divided by one plus cost to cost to cause correct -1. So it will be cossacks by to certain courses. Choir. Thanks bye to mm So let us write one x 2. Here is the product. So this is just like a spartan. Let's be spotless quickly. So it must be hold square And it's by two. Let's contacts were to expire by this is cost quiet. Thanks bye. No. Okay so this is one x 2 years to the Power Act. Now we have to do like uh Synnex by to buy Cause X x two. Bless cause X by to buy contacts by two whole square But there's only one x 2. It is the paradox. This is 10 x by two plus one. This will get cancelled out and hold square will be as it is. This is one x 2 areas to the products. Okay. Okay. So let us open it. It will be 10 Squire X by two plus when let's do 10 expired two. Now from part of an identity six square meter main street square that are equal to one. This will be equal to six choir it is the products six squared X Y two. Let's to 10 X by two. No, if we suppose this to be uh okay. An expert with this. Good. Yeah. If you support this to be affects equal to 10 X. Y two. So after shocks will be two and two. Sake is collected by two into differentiation of its by two. That is one x 2 I think it's quite expected. Which is this? So this is in the form of areas to the power X. FX place FDA checks well affects this. So it's answer should be equal to one x 2 years to the products FX to attend X by Tbilisi. So these two these two will be cancelled out is with power X 10 x by two. Let's see should be Puerto zero not zero should be the answer. Thank you.

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