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Integration test

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Integrals – Complete Formula & Test Notes These notes cover all important Integral formulas and tests in a clear, exam-oriented, and easy-to-understand format. Perfect for quick revision, concept clarity, and problem-solving practice. What’s included: All basic to advanced integration formulas Standard integrals with examples Methods of Integration: Substitution method Integration by parts Partial fractions Definite & Indefinite Integrals Important properties and shortcut tricks Solved examples for better understanding Exam-important questions & patterns Best for: Class 11 & 12 students Board exams, JEE (Main), NDA, CUET Students who want fast revision before exams Self-study & last-minute preparation

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CBSE Test Paper 01
Chapter 7 Integrals


1. is equal to

a. log
b.

c. – log(1 + e-x) + C
d.


2. The function is


a. an odd function
b. an even function
c. Neither odd nor Even
d. a periodic function


3. dx is equal to


a.
b.
c.
d.


4. is equal to


a.
b. log (a+b).log (b–a)
c.

d.


5. If dx = f (x), then


1/7

, a. f(x) = ax
b. f (x) = x
c. f(x) = 0
d.

6. The function A(x) denotes the ________ function and is given by A (x) = .

7. The indefinite integral of is ________.

8. The indefinite integral of 2x2 + 3 is ________.

9. Show that .


10. Evaluate


11. Evaluate



12. Evaluate the definite integral .


13. Integrate the following function .


14. Integrate the function (x2 + 1) log x

15. .


16. Evaluate


17. Evaluate


18. Evaluate as a limit of a sum.




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