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CBSE TEST PAPER-02 
CLASS - XII MATHEMATICS (Calculus: Integrals) 
Topic: - Integrals 
1.
3 logsin
cos .
x
x e dx
?
[1] 
2. '( )[ ( )]
x
f ax b f ax b dx + +
?
[1] 
3. 
1
x
o
xe dx
?
[1] 
4. 
1
5 4
1
sin .cos x x dx
- ?
[1] 
5. 
log
dx
x x x +
?
[1] 
6. 
2
sin
1 cos
o
x x
dx
x
p
+
?
[4] 
7. 
4
sin cos
9 16sin 2
o
x x
dx
x
p
+
+
?
[4] 
8. 
2
5
( 1)( 9)
x
dx
x x + +
?
[4] 
9. 
1 1
1 1
sin cos
sin cos
x x
dx
x x
- - - - - +
?
[6] 
10. ( )
( )
2
1
log log
log
x dx
x
? ?
+
? ?
? ?
? ?
?
[6]
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FAQs on Integrals Test-2 - Class 12

1. What is the purpose of the Integrals Test-2 in Class 12?
Ans. The purpose of the Integrals Test-2 in Class 12 is to assess the students' understanding and application of integral calculus concepts and techniques. It helps evaluate their ability to solve problems related to definite and indefinite integrals.
2. What topics are covered in the Integrals Test-2 for Class 12?
Ans. The Integrals Test-2 for Class 12 usually covers topics such as properties of definite integrals, the fundamental theorem of calculus, integration by substitution, integration using trigonometric identities, and applications of integrals in finding areas and volumes.
3. How can I prepare effectively for the Integrals Test-2 in Class 12?
Ans. To prepare effectively for the Integrals Test-2 in Class 12, it is important to thoroughly review the concepts and formulas related to integrals. Practice solving a variety of problems from textbooks, sample papers, and previous years' question papers. Understand the step-by-step solution approach for different types of integrals.
4. Are there any specific tips for solving definite integral problems in the Integrals Test-2?
Ans. Yes, when solving definite integral problems in the Integrals Test-2, it is essential to identify the limits of integration and substitute the values correctly. Pay attention to the properties of definite integrals, such as linearity and reversing limits. It is also crucial to interpret the result in the context of the problem, especially when finding areas or volumes.
5. Can I use calculators during the Integrals Test-2 in Class 12?
Ans. The use of calculators during the Integrals Test-2 in Class 12 may vary depending on the specific guidelines provided by the examination board. It is recommended to check the official instructions or consult with your teacher or school to determine whether calculators are allowed or not.
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