Problem

Find the integrals of the functions. $$ \sin ^{4}…

03:45

Problem 9 Easy Difficulty

Find the integrals of the functions.
$$
\frac{\cos x}{1+\cos x}
$$

Answer

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Calculus 2 / BC

NCERT Class 12 Part 2 - Math

Chapter 7

Integrals

Section 3

Methods of Integration

Discussion

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Video Transcript

1000 Number nine in which we need to integrate course X by one place. Cossacks. DX Okay so let's get started. Okay we know that cost 23 days. Cause quite determined science catheter. So if uh we right cause tax equal to cause two and two X by to buy one plus Cossacks. And we could be we could write caused to into X by two equal to causes choir acts by two minus sine squared X by to and from traveling identity. We will be writing in the denominator to causes quite expired too as well to cause a Squire, X by two and TX Now let us take one bite was common and divide. This will become one minus dana Squire by two. Oh okay. B. X. No 10 hour and let us take outside one D x minus one by two. Uh 10 squared X by two. We do not know that. Integration of 10 squares but it can be converted into sex square X. As we have pythagorean identity is take a square theater. My instance credit equal to one. So tense quality will be equal to six square theater minus one. So let us write it up one by two dx mines one by two one. Place Sega squired X by two. Yeah. Yeah six clerics by two minus one. Take a square X by two minus one dx. So this is one by two. Integration of the excess simply X minus one by two. Integration of status, parrots by two. Uh square exabyte two is always 10 X. So integration of this will be 10 X by two and we have to divide with the differentiation of this xy two. That is one by two and minus or plus one by two X plus. See so these two will get cancelled out one by two explosion Matrix X minus 10 acts by two plus thing. Oh uh we have excellent standards by topless. See I got answer thank you.

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