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Class 12 Indefinite Integrals Assignment

This document contains 31 problems involving indefinite integrals. The problems cover a range of integral types including logarithmic, trigonometric, and rational integrals. The document provides the problems but does not show the solutions. It directs the reader to not copy the given answers and instead write for help with any of the problems. It also notes that problem 32 involves evaluating a definite integral between given limits.

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134 views4 pages

Class 12 Indefinite Integrals Assignment

This document contains 31 problems involving indefinite integrals. The problems cover a range of integral types including logarithmic, trigonometric, and rational integrals. The document provides the problems but does not show the solutions. It directs the reader to not copy the given answers and instead write for help with any of the problems. It also notes that problem 32 involves evaluating a definite integral between given limits.

Uploaded by

Jeet Chawla
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

NCERT/CBSEMATHEMATICSCLASS12ASSIGNMENT

INDEFINITEINTEGRALS
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REVISIONASSIGNMENTWITHSOLUTIONS

IndefiniteIntegrals

2x
1. I= 1 + x 2
dx

(log x )
2

2. I= x
dx

dx dx
3. I= x + x log x = x (1 + log x )

4. I = sin x sin (cos x ) dx

5. I= (sin ax + b ) cos ( ax + b ) dx

6. I= ax + b dx

1
7. I = 1 tan x dx

tan x
8. I= sinx cos x dx
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NCERT/CBSEMATHEMATICSCLASS12ASSIGNMENT
INDEFINITEINTEGRALS
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(1 + log x )
2

9. I= x
dx

( x + 1)( x + log x )
2

10. I= x
dx

x 3 sin (tan 1 x 4 )
11. I= dx
1 + x8

10x 9 + 10 x log e 10dx


12. I=
x10 + 10 x
dx
13.
I= sin 2
x + cos 2 x
dx

x
14. I = ( x 1) ( x 2
+ 1)
dx

1 x2
15. I= dx
x 2x 2

dx
16.
x4 1

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NCERT/CBSEMATHEMATICSCLASS12ASSIGNMENT
INDEFINITEINTEGRALS
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1
17. I = x (x n
+ 1)
dx

18. I=
(x 2
+ 1)( x 2 + 2)

(x 2
+ 3 )( x 2 + 4 )

cos x dx
19. I= (1 sin x )( 2 sin x )
3x 1
20. I= ( x + 2) 2
dx

1
21. cos ( x a ) cos ( x b ) dx

3x 2 3x 2
22. x 6 + 1dx = dx
( )
x 3 2
+ 1

1
23. I= dx
(2 x )
2
+1

x 1
24. dx
x2 1

dx
25. 2x x 2

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NCERT/CBSEMATHEMATICSCLASS12ASSIGNMENT
INDEFINITEINTEGRALS
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English,Accounts,MBA

dx
26. I= ( x a )( x b )

I = x sin 1 x dx
27.

(sin x ) dx
1 2
28. I=

(x + 1) log x dx
2
29. I=

1
30. I= (1 x ) dx
2

dx
31. I = x+a + x+b

DefiniteIntegrals

32. Integrateusinglimitsofasum:
3
I = x 2 dx
2

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