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Put Up Formula Diploma Feature Description

The Put Up Formula Diploma feature is designed to foster your learning journey and support your professional development. With this feature, you can gain valuable skills and knowledge while enjoying a flexible and engaging experience.

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now in this video let's start with very important subtopic of the chapter of integrals or integration that is the formulas in this whole chapter you see that many R times will be studying formulas there are many formulas and the series of formulas starts with this video so the first formula is integration of X raised to the power n DX the formula for this evaluation of this integral is X raised to the power n plus 1 upon n plus 1 where n should not be equal to minus 1 that is very important otherwise we have not defined in the denominator because of the zero in the denominator so one thing how do you calculate integrals ok the first if you can learn is fine the second see first we observe and then I'll tell you integration of simply DX that means integration or DX can be taken as integration of 1 into DX right now what is the value that should be differentiated with respect to X so as to give me 1 because I say that integration is the reverse process of differentiation so what should be differentiated in order to give me 1 X should be differentiated with respect to X in order to give me 1 remember I used to write D by DX of X is equal to 1 that is what is happening now this D by DX if it goes there becomes integration of 1 and it should be giving me X so my answer would be X with 1 constant which I say is constant of integration similarly C integration of kha'zix DX integration of kha'zix means what value should be there which should be differentiated in order to give me cause you know that when you differentiate sine X with respect to X you get cos that means here the answer should be sine X plus C this is how you find out the formulas but every time you will not be evaluating you will be simply memorizing next signings whose differentiation is Synnex if I say I have kha'zix what is the differentiation of kha'zix it is minus sine X right it is not sine X but if I have minus kha'zix it will be minus x minus sine X in the answer this will give me plus sine X so plus sine X is obtained when you differentiate minus kha'zix so it should be minus cos x plus C similarly what to differentiate with respect to X in order to get secant square X you know that tan X will give me secant square X on differentiation plus constant of integration you have to add next what about cosecant square X cosecant square X is actually obtained you know that if I differentiate cortex cortex differentiation is minus cosecant square X but this thing we have only cosecant square X so it should be minus cot X plus C similarly next example quickly now you people can do it let's try our hands on this cygnets tonics is obtained on differentiation of secant X so secant X differentiation with respect to X give me secant X tan X plus C next cosecant X cortex you know that the differentiation of cosecant X is what minus cosecant X into cortex but this is only cosecant X cortex so it should be minus cos secant X plus C right next to the second column we come on to these functions as...

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