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Integral Calculus - Choose the correct answer | 12th Business Maths and Statistics : Chapter 2 : Integral Calculus - I

Chapter: 12th Business Maths and Statistics : Chapter 2 : Integral Calculus - I

Choose the correct answer

Maths: Integral Calculus: Multiple choice questions with Answers, Solution and Explanation - Book back 1 mark questions and answers with solution for Exercise Problems

Choose the correct answer:

1. ∫ 1/x3 dx is


Ans: (b)


 

2. ∫ 2xdx is

(a) 2x log 2 + c

(b) 2x + c


Ans: (c)


 

3. 

(a) sin x + c

(b) 1/2 sin x + c

(c) cos x + c

(d) 1/2 cos x + c


 

4.  is

(a) − cos2x + c

(b) − cos2x + c

(c) – 1/4 cos 2x + c

(d) −4 cos 2x + c


 

5. ∫ logx/x dx , x > 0 is

(a) 1/2 ( log x ) 2 + c

(b) – 1/2 ( log x)2

(c) 2/x2 + c

(d) 2/x2 + c


 

6. 


Ans: (b)


 

7. 


Ans: (b)


 

8. ∫ e2x[2x2 + 2x ]dx

(a) e2xx2 + c

(b) xe2x + c

(c) 2x2e2 + c

(d) x2ex /2 + c


 

9. 

(a) log |ex / ex + 1| + c

(b) log |ex + 1/ ex | + c

(c) log |ex| + c

(d) log |ex + 1| + c


 

10.  is

(a) log |x – 3| − log |x + 1| + c

(b) log |x – 3| + log |x + 1| + c

(c) 9 log |x – 3| − log |x + 1| + c

(d) 9 log |x – 3| + log |x + 1| + c


 

11. 


Ans: (b)


 

12. 


Ans: (b)


 

13. 


Ans: (b)


 

14.  is

(a) 1

(b) 2

(c) 3

(d) 4


 

15.  is

(a) log 4

(b) 0

(c) log 2

(d) log 8


 

16.  is

(a) 0

(b) 1

(c) 2

(d) 1/2


 

17.  is

(a) 1

(b) 

(c) 0

(d) ex4


 

18. If f ( x) is a continuous function and a < c < b ,then 


(d) 0

Ans: (c) 

19. The value of  is

(a) 0

(b) 2

(c) 1

(d) 4


 

20.  is

(a) 1 /12

(b) −7 /12

(c) 7 /12

(d) −1 /12


 

21. If 


is

(a) 4a2

(b) 0

(c) 2a2

(d) 1


 

22. The value of  is

 (a) 1

(b) 0

(c) −1

(d) 5


 

23.  is

(a) 20/3

(b) 21/3

(c) 28/3

(d) 1/3


 

24.  is

(a) log 2

(b) 0

(c) log √2

(d) 2 log 2


 

25. Using the factorial representation of the gamma function, which of the following is the solution for the gamma function (n ) when n = 8

(a) 5040

(b) 5400

(c) 4500

(d) 5540


 

26. (n) is

(a) (n – 1)!

(b) n!

(c) n (n)

(d) (n – 1) (n)


 

27. (1) is

(a) 0

(b) 1

(c) n

(d) n!


 

28. If n > 0, then (n) is


Ans: (d)

 

29. (3/2)

(a) √π

(b) √π

(c) 2 √π

(d) 3/2


 

30.  is

(a) 12

(b) 4

(c) 4!

(d) 64




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12th Business Maths and Statistics : Chapter 2 : Integral Calculus - I : Choose the correct answer | Integral Calculus

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12th Business Maths and Statistics : Chapter 2 : Integral Calculus - I


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