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Colleges

Triton International College

Location: Subidhanagar, Tinkune

Phone No: 123456790

Courses: BCA, BBA, BIM, BBS, BIT

Triton International College

Location: Subidhanagar, Tinkune

Phone No: 123456790

Courses: BCA, BBA, BIM, BBS, BIT

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Anti Derivative

23. 0 1 2 x 1 + x 2 d x [2075]

0

log2

2

1

24. d x x ( 1 + l n x ) 2 = [2075]

1 1 + l n x + c

1 1 + l n x + c

1 l n x + c

1 x ( 1 + l n x ) + c

24. d x s i n 2 x = [2074]

a + x + c

-a + x + c

tanx + c

tanx + c

25. 0 1 d x 1 + x 2 = [2074]

π / 4

π / 2

0

tanx + c

22. d x 1 x 2 = [2073]

cos-1x + c

1 2 l n | 1 x 1 + x | + c

sin-1x + c

1 2 l n | 1 + x 1 x |

23. 1 2 s i n ( l n t ) 1 d t = = [2073]

1-cos(ln2)

cos2

cos(ln2)

1+cos(ln2)

25. The area bounded by the a-axis and the curve y = x3 and ordinates of x - 2 and x - 4 is [2073]

60 sq units

256 sq units

240 sq units

272 sq. units

23. 0 1 2 x d x 1 x 2 [2072]

1/2

1

0

2

24. x s i n x d x = [2072]

Sinx - xCosx + C

Sinx + xCosx + C

Cosx + xSinx + C

-Sinx + xCosx + C

25. Area bounded by the x-axis and the curve y = 3x2 and the ordinate of x = 2 and x = 4 is [2072]

27

8

19

0

24. d x 1 c o s x = [2071]

tan x/2

-cot x/2

cos x/2

-tan x/2

25. 0 1 2 c o s x 1 + s i n x d x [2071]

ln|2|

0

1

25. Which one of the following is the area enclosed by curve y = 3x, the x-axis and the ordinate x = 0, x = 4? [2070]

12

16

20

24

9. The integral d x ( e x e x ) 2 is equal to [2070]

1 2 | e 2 + 1 | + c

1 | e 2 x + 1 | + c

1 2 | e x + e x | + c

1 2 | e 2 x + 1 | + c

I there is