NDA MATHS QUESTION BANK

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(d) 2 In ( (^) √ ) + C



  1. If f(x) is an even function, what is
    ∫ (^ )^ equal to?^


(a) 0 (b) ∫ ⁄^ ( ) (c)


2 ∫ ⁄^ ( )
(d) 1



  1. What is the value of ∫ ⁄⁄?


(a) 2 In √ (b) In √ (c) 2 In 3 (d) 4 In
3



  1. What is the value of ∫.^


/^
(a) e.^ / (b) e ( e – 1) (c) e - (d)


0



  1. What is the value of integral


∫ |^ |
(a) 1 (b) 0 (c) 2 (d) - 1



  1. What is ∫^


(^)

dx?^
(a) π (b)^ (c)^ (d) 0



  1. What is ∫ ⁄⁄^ dx equal to?


(a) √ (b)^ (c)^ (d) 0



  1. If f (x)= a + bx + , what is ∫ ( )
    dx equal to?
    (a) [f(0) + 4f (1/2) + f(1)]/6 (b) [f(0) +
    4f (1/2) + f(1)]/3 (c) [f(0) + 4f (1/2) +
    f(1)]
    (d) [f(0) + 2f (1/2) + f(1)]/6

  2. What is the value of


∫ ⁄^ (^ )^
(a) 0 (b) 1 (c) -1 (d)^



  1. What is ∫ ( )^ dx is equal to?


(a) ( ) (b) ( )^ ( ) (c) 1 (d) 0




  1. The value of ∫ ( )^
    depends on which of the following?
    (a) values of x only (b) values of each
    of a, b and c (c) value of c only (d)
    value of b only




  2. What are the values of p which
    satisfy the equation ∫ ( )
    dx=
    (a)^ and 2 (b) - and 2 (c)^ and - 2
    (d) - and - 2




  3. What is the value of ∫ dx?
    (a) (^ ) (b) - 1 (c) 2(e - 1) (d) e – 1




  4. What is the value of integral I=
    ∫^ (^ )^
    dx?^
    (a) (b) (c) (d)




  5. What is the value of ∫ | | dx?
    (a) 2 (b) 1 (c)^ (d) 0




  6. What is ∫ dx equal to?
    (a).^ / log (ab). log.^ / (b)^ (c) log
    .^ /
    (d).^ / log 0 (^ ) 1




  7. If ∫ ( ) (^) ∫ ( )
    , what is the value of ∫ ( ) dx?
    (a) - (b)^ (c)^ (d)




  8. Assertion (A) ∫




(^) ∫ ⁄^
Reason (R) is an odd function.
(a) A and R are true, R is the correct
explanation of A (b) A and R are true
but R is not the correct explanation of A
(c) A is true but R is false (d) A is false
but R is true

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