Problem

Integrate the functions. $$ \frac{1}{\sqrt{7-6 x-…

02:08

Problem 11 Easy Difficulty

Integrate the functions.
$$
\frac{1}{9 x^{2}+6 x+5}
$$

Answer

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Calculus 2 / BC

NCERT Class 12 Part 2 - Math

Chapter 7

Integrals

Section 4

Integrals of some Particular Functions

Discussion

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Video Transcript

We have problem number 11 in mid 2023 one by nine x squared plus six X plus five. So first let us right by taking nine is common. It will become access squared plus six x 9 x. That's five x 9. So this is one x 9. One by access choir players. This will become two by three To my three x bless five by nine. Now we have integrated dX. Yeah. Okay to integrate we have to just completely esquire first. So this will become X place to buy three half of two by 31 by three whole square plus five by nine is as it is minus one by three whole squad that is one by nine will be here. So this is one x 9, one by X plus one by three whole square Plus four x 9. four x 9 means two by three whole square dx. No let us substitute X place one by three equal to T which means D X will be equal to D. T. Test right here. One by nine. Uh huh. One by this is ds squired Bliss To buy three whole square DT. Okay since there is no square roots so this is just in the farm of one back squat plus a square which means one by 31 by A. Is two by three. So one by To buy 3. 10. Universe X by a. That is deep. I. Two by three. Let's see. So this will become one by two 10 in verse three. T by two. Let's see now we have two equal to Expose one x 3. Let us right one by two. 10 verse three and two X. Plus. One by three By two. Let's see if you multiply with three. We'll be getting when by 2 10 and verse three X. Plus when by two. Let's see. They should be there answer. Okay for 11th questions. Thank you so much.

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