Problem

Find the integrals of the functions. $$ \tan ^{3}…

02:05

Problem 14 Easy Difficulty

Find the integrals of the functions.
$$
\frac{\cos x-\sin x}{1+\sin 2 x}
$$

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

we have problem number 14. And this problem we have to integrate Kazaks minus cynics divided by one place. Scientifics. Okay well so this is one plus sign to works. Okay. No I will be writing this like car sex minus Synnex by one. Can written as or science square X plus because cortex and sign to access formulas to sin X. Cossacks. Now this is just like a squared plus B squared plus two A. B. Which is a plus behold square. So core sex minus Synnex by sign explodes. Cossacks, Synnex plus Cossacks whole square. We need to integrate it. So this is definitely a case of substitution to substitute Synnex place cause X equal to T. So co sex minus Synnex D. X. Called to duty. All it is right this whole thing will become a call to duty. So one by T esquire DT. Mhm. The 60 my edited by minus two DT. So simple integration minus two plus one minus two plus one by minus scrupulous one. Let's see. T is saying experts classics. This is minus one into serious the par minus one so one by deep. Let's see. The mine is one by sign X place concept. Let's see. So they should be and support. Remember? Key 0.14 Thank you so much story number 14.

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