- What is the value of integral
∫ (
) ∫
4 5(^) dx?
(a) + c (b) (
) (c) x (
)
(d). /
- If ∫ | ( )| ,
then what is the value of g(x)?
(a) sin x cos x (b) x (c) tan x (d)
log | | - The value of ∫ ⁄⁄^ is
equal to:
(a)^ (b)^ (c)^ (d) 0
- ∫ ⁄^ dx equals to:
(a) log 2 (b) 2 log 2 (c) ( )^ (d)^
log 2
∫ ⁄⁄ (^) √^ is equal to:
(a) (b)^ (c)^ (d)^
∫^
(^)
dx is:^
(a) 2 (b) (c) (d) 2π
- ∫ ⁄^ √ √ √^ dx is equal to:
(a)^ (b)^ (c)^ (d)^
- ∫ ⁄⁄ is equal to:
(a) √ - 1 (b) √ +1 (c) 1+√^ (d) 1-√^
∫ ( ) dx is equal to:
(a) 4 + sin a (b) 3 + sin a + cos a (c) 0
(d) 4 – sin a
The value of ∫ (^) √ dx is equal to:
(a)^ (b)^ (c)^ (d)^
∫ ⁄^ cos x dx is equal to:
(a) e + 1 (b) e – 1 (c) e + 2 (d) e
30. To find out the numerical value of
∫ (^ )^ dx, it is necessary to
know the value/values of which of the
following?
(a) p only (b) q only (c) p and s (d) p,
q, s
31. ∫ ( )^ ∫ ( )^
dx, what is the value of k?
(a) 0 (b) 1 (c) – 1 (d) 2
32. What is the value of ∫ ⁄^ ⁄^
(a) 1 (b) 0 (c) π (d) – 2
33. What is ∫ equal to?
(a) tan x + cot x + C (b) tan x – cot x + C
(c) ( )^ + C
(d) ( )^ + C
where C is the constant of integration.
What is ∫ .√ (^) √^ / dx equal to?
(a) x + C (b) (√ ) + C (c) 2 (√ )
- C
(d) 2x + C
where C is a constant of integration.
- What is ∫^ √ √^ dx equal to?
(a)^ √^ (b) 2 cos √ + C (c) -
(^) √
(d) – 2 cos √ + C
- What is ∫√ √^ dx equal to?
(a) 2 √^ (x - 2 √ ) + C (b) 2 √^ (x +
(^2) √ ) + C (c) 2 √^ (x + 2√ ) + C
(d) 2 √^ (x - (^2) √ ) + C
where C is a constant of integration.
- What is ∫ (cos x) dx equal to?
(a)^
(b)
(c) -^
(d)^