generic · CBSE Class 12th English Medium · MATHEMATICS PART-2 · Page 43question

INTEGRALS

Chapter 7: INTEGRALS · MATHEMATICS PART-2 · EN medium

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A ( x ) = ∫ a f x dx ... ( ) Based on this definition, the two basic fundamental theorems have been given. However, we only state them as their proofs are beyond the scope of this text book. . . First fundamental theorem of integral calculus Theorem Let f be a continuous function on the closed interval [ a , b ] and let A ( x ) be the area function. Then A ′′′′′ ( x ) = f ( x ), for all x ∈∈∈∈∈ [ a , b ] . Fig . . . Second fundamental theorem of integral calculus We state below an important theorem which enables us to evaluate definite integrals by making use of anti derivative. Theorem Let f be continuous function defined on the closed interval [ a , b ] and F be

📖 ncert book class 12 maths part 2 chapter 1 · Page 43

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A ( x ) = ∫ a f x dx ... ( ) Based on this definition, the two basic fundamental theorems have been given. However, we only state them as their proofs are beyond the scope of this text book. .

. First fundamental theorem of integral calculus Theorem Let f be a continuous function on the closed interval [ a , b ] and let A ( x ) be the area function. Then A ′′′′′ ( x ) = f ( x ), for all x ∈∈∈∈∈ [ a , b ] . Fig .

. . Second fundamental theorem of integral calculus We state below an important theorem which enables us to evaluate definite integrals by making use of anti derivative. Theorem Let f be continuous function defined on the closed interval [ a , b ] and F be

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