NET Mathematics Practice MCQs Chapter 3 Class 12


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Created on By Ali Durrani

Integration Math Ch 3 Class 12

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The suitable substitution for ∫√(??? − ?^?)?? is:

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. Inverse of ∫ … . ?? is:

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Solution of differential equation ??/?? = ?? − ? is :

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∫ ??????? =

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The solution of differential equation ??/?? = ???^?? is

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∫????/???? ???????? =

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∫ ?????? equal to

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∫??/???? =

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∫?′(?)/?(?) ?? =

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∫???+?? =

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?? ? > 0 ??? ? ≠ 1 ?ℎ?? , ∫ ?^??? =

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∫ ?????? =

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∫ ?^?(?). ?′(?)?? =

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∫ ??????? is equal to

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∫ ?^(????). ?????? =

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The equation ? = ?^? − ?? + ? represents ( ? being a parameter )

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The order of the differential equation : ????/??? +??/?? − ? = ?

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To determine the area under the curve by the use of integration , the idea was given by

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∫ ?^(?) [???? + ???]?? =

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∫ ?^(??)[??(?) + ?′(?)]?? =

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∫ ?^???? =

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∫ ?^−???? =

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∫ ???(?? + ?) ??=

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If ∫ ?(?)?? = ?(?) + ? ,then ?(?) is called

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If ? = ?(?), then differential of ? is

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. ∫ ? ???? =

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The general solution of differential equation ??/?? = −?/? is

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∫ ??? equals:

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∫?+?/?+? ?? =

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