NDA MATHS QUESTION BANK

(sacavldel) #1

  1. If f(x)= cos x -
    , then ∫ ( ) dx is equal to:
    (a) tan^ (b) x + tan^ (c) x -


tan^


(d) x - tan^



  1. The value of the integral∫.
    ( )
    ( )^ dx is equal to:^
    (a) + c (b) + c (c)
    (1+x) + c (d) x + c

  2. The value of the integral ∫ ( )


is equal to:
(a) - (b) - (c)


(d)



  1. The value of ∫^
    dx is equal to:^
    (a) x + c (b) log (x + e) + c (c)^ log
    ( ) + c
    (d) log ( ) + c

  2. The value of integral ∫. /
    dx equal to:
    (a) sin x + c (b) cos x + c


(c) tan x + c (d) cot x + c



  1. ∫ sin x dx is equal to:


(a) cos x + c (b)^



  • c (c)^


(^) ( sin x



  • cos x) + c (d)^
    (sin x –^ cos x) + c^



  1. ∫. / dx is equal to:


(a) (b)^



  • c (c)^


(^) tan
x + c (d) ( )



  1. ∫ is equal to:


(a)^


(^)
(b)^
(^) + c (c)^
(d)^
12. (^) ∫ (^ ) dx is equal to:
(a) log tan x + c (b) log sec x + c (c) tan
x + c
(d) + c



  1. If ∫^


(^) ( ) , then
k is equal to:
(a) log 2 (b)^ log 2 (c)^ (d)



  1. What is the integration of (^


(^) ) ⁄
?^
(a)^. /

(b) - (^).
/

(c)^. (^) /

(d) (^
(^) ) ⁄



  1. What is the integration of √^?
    (a) √^ (√ ) (b) √^ (√
    )


(c) √^ (√ (^) ) (d) √^



  1. What is the integration of?
    (a) ( )^ +c (b) (^ )
    ( )^ (c)
    ( )^
    (d)^
    ( )^

  2. What is the value of
    ∫^ √ cos x dx?^
    (a) ( ) + c (b) ( ) + c (c)
    ( ) + c (d) ( ) + c

  3. What is the value of ∫√?
    (a) (1/a) ((x-a)/a) + c (b)
    [(x-a)/a] + c (c) In |( )
    √ | + c (d) (1/a) In
    |( ) √ | + c

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