Chapter 6 Integration Exercise 6.1 Class 12 maths sindh board New book

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Watch Chapter 6 Integration Exercise 6.1 Class 12 maths sindh board New book - amin education on Dailymotion

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00:00:00exercise 6.2 new book question 3 ka part 2 cos ki power 5 angle 2x sine angle 2x

00:00:09is cos 2x ko na v1 lo tu dv kya ho jayega ha mein pata hai bhai yi angle multiply

00:00:16ho

00:00:17jata hai minus 2 sine 2x ab kya gero sari x wali term ii taraf le lo ye dx multiply

00:00:24egal lo minus 2 is there sine 2x dx ki jaga kya minus tv upon 2 leek

00:00:30saktayin bilkul leek saktayin ilikti jayin or ye cos 5x v ho gya sab kuch v

00:00:35me transfer ho gya v ki power 5 ab dkho ye 2 ko ta ab alakal lo minus

00:00:45saktayin bhi jo hai na ye edher bhar a chayega aur power me eek iza fa v6 abon 6 to

00:00:57of course

00:00:58ye cos hai to be cos 6 to x upon 6 ye minus i3 plus klo zada me3

00:01:03ta hou teakha aur 6 to 12 minus 1 upon 12 ye answer ra chayega part 2 me ye dhe

00:01:17foreign

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00:01:35quad integration ln

00:01:37sin v

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00:01:41root x

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00:01:452 plus sin 3 x

00:01:47power 6

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00:01:52derivative dv

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00:02:00dv upon 3

00:02:02cos 3x

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00:02:39in this way so I'm a show's come on it is a better way that I can watch it I

00:02:44mean

00:02:45it is one of one X so that will be my name is that one day I mean we want

00:02:49to get this

00:02:49case I'll be we go over here DS is the divided order that is when did I would say yes

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00:02:55can have you Pooley cheese Vee me transfer okay you know I mean if you go home really

00:03:01I don't think I need to know that we can have integration

00:03:06so we can have a power one and the one was the plus

00:03:09which we square upon two plus feet and the right now we

00:03:14can't do anything we will you put it in the game and then next

00:03:18to the next upon two guys square upon two plus

00:03:22see this is a part one point of the question

00:03:27about

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00:04:49it was jakby I don't know Allen

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00:05:15x and minus value value minus ln ln cos x plus c

00:05:20this problem with no

00:05:22bit of a question

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00:05:34matter function

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00:07:38C of course, this is a formula.

00:07:41Here, look.

00:07:43Again.

00:07:44Sin inverse x, f of x.

00:07:46f dash x,

00:07:48f dash x.

00:07:49This function is a function.

00:07:50This function is a derivative.

00:07:54Now, what do we do?

00:07:57The fact is e give x function plus function.

00:08:01The answer is big.

00:08:02e give x into function.

00:08:06What do we do?

00:08:09This function is a function.

00:08:10This function is 10 inverse x.

00:08:11The derivative is 1 plus x square.

00:08:15So, what do we do?

00:08:17The function is a function.

00:08:19This function is a derivative plus c.

00:08:22Then, e give x is a square x plus 10x.

00:08:25This is 10x.

00:08:27e f inverse x is a square x.

00:08:30The power x is 10x plus c.

00:08:34So, this function is a function.

00:08:36This is a very important topic.

00:08:40Chapter 6 according to new book.

00:08:43And, exercise 6.1 question 4.

00:08:45There is a formula.

00:08:47e give x to x.

00:08:49If a function is a function,

00:08:51plus is a function.

00:08:54The function is a derivative.

00:08:55f x function.

00:08:56f dash x.

00:08:57So, answer is a function.

00:08:58e give x and function.

00:08:59e give x is a function.

00:09:00So, the function is a function.

00:09:00f of x is a function.

00:09:02and, this derivative is a function.

00:09:05e give x is a function.

00:09:16foreign

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00:09:20f dash x

00:09:21This is your function

00:09:24Use function

00:09:25Derivative

00:09:27What do we do?

00:09:30The fact is

00:09:31e give or x

00:09:32function plus function

00:09:34Derivative

00:09:34Answer is big

00:09:36e give or x

00:09:37into function

00:09:39What do we do?

00:09:41This is a function

00:09:4310 inverse 6

00:09:44which is derivative

00:09:461 plus x square

00:09:47So what do we do?

00:09:51Function will come

00:09:53and this derivative is plus c

00:09:55Then e give or x

00:09:57square x plus 10 x

00:09:59This is 10 x

00:10:00e f inverse x

00:10:02square x

00:10:03e give or x

00:10:0510 x plus c

00:10:08This answer will come

00:10:09Second and minus

00:10:11which is not

00:10:12complete solution

00:10:13in this playlist

00:10:17This is a function

00:10:18This is a function

00:10:18Question number

00:10:19exercise 6.1

00:10:21Question 3

00:10:22part

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00:10:23question

00:10:24The question

00:10:25originally

00:10:26is a function

00:10:27of x

00:10:28x

00:10:29x

00:10:30square

00:10:31plus 3

00:10:32We will see

00:10:33this

00:10:34and

00:10:34this

00:10:35differential

00:10:36is

00:10:38x

00:10:38square

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00:11:25X2

00:11:31X2

00:11:38Z is so big

00:11:40X5 plus 4 X square minus X square

00:11:46X5 plus X4 minus X square

00:11:51And here, this is the same thing

00:11:54Z is E to power X plus LNX

00:11:56And below E to power X plus 1 upon X DX

00:12:00So, this is Z is the derivative of Z

00:12:03When we take the integration

00:12:05So, this is LNZ plus C as it is

00:12:08The answer is the same thing

00:12:10And here, this is the answer

00:12:15This is the answer

00:12:16This is the power minus 1

00:12:19So, there is no power

00:12:215 X cube minus 3 X square plus 6 X minus 5

00:12:265 X cube is the derivative of 3 X square

00:12:29Y-N-15 X square

00:12:313 2 is 6 minus 6 X plus 6

00:12:33And here, this is the answer

00:12:36This is the answer

00:12:36Or when we take the power of 3 common

00:12:385 X square minus 2 X plus 2 X square

00:12:42Y-N-2 X square

00:12:44Y-N-2 X square

00:12:45Y-N-2 X square

00:12:59value

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