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Class Xii Guess Paper Maths: Integration

The document contains 12 math integration problems involving trigonometric, logarithmic, and other substitutions. It provides sample practice problems for the CBSE Class XII exam covering key concepts like finding integrals using u-substitutions, partial fractions, and integration by parts. The problems progress from simpler integrals to more complex examples requiring multiple steps.

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yogesh amit
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167 views2 pages

Class Xii Guess Paper Maths: Integration

The document contains 12 math integration problems involving trigonometric, logarithmic, and other substitutions. It provides sample practice problems for the CBSE Class XII exam covering key concepts like finding integrals using u-substitutions, partial fractions, and integration by parts. The problems progress from simpler integrals to more complex examples requiring multiple steps.

Uploaded by

yogesh amit
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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CBSEGuess.

com

CLASS XII
GUESS PAPER
MATHS
INTEGRATION

e
x
1. Find cos x dx.

2. Using the substitution u = 1 x + 1, or otherwise, find the integral


2

x
1 x  1 dx.
2

e
2x
3. Find sin x dx.

4. Using the substitution 2x = sin , or otherwise, find   1  4 x 2 dx.


x3
5. Use the substitution u = x + 2 to find  ( x  2) 2
dx .

6. (a) Express as partial fractions 2x  4 .


( x 2  4)( x  2)

2x  4
(b) Hence or otherwise, find  (x 2
 4)( x  2)
dx.

2
 x 
7. Using the substitution y = 2 – x, or otherwise, find    dx.
2– x

8. Find  (θ cos θ – θ )dθ.

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9. Find  1n x dx .

ln x
10. Find  x
dx .

11. Let f (x) = x cos 3x.

Use integration by parts to show that

1 1
 f ( x) dx  3 x sin 3x  9 cos 3x  c.
12. Use integration by parts to find  x ln x dx.
2

Chandan Singh Ghughtyal, The Doon School

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CBSE Sample Papers | CBSE Guess Papers | CBSE Practice Papers | Important Questions | CBSE PSA | CBSE OTBA |
Proficiency Test | 10 Years Question Bank | CBSE Guide | CBSE Syllabus | Indian Tutors | Teacher' Jobs CBSE eBooks |
Schools | Alumni | CBSE Results | CBSE Datesheet | CBSE News

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