, then the value of is
My Self Assessment
a)
The value of is
b)
c) 1
d) 2
If for non-zero x, where a ≠ b thenis equal to
c)
d)
For n > 0, is
b) π
Interval containing the value of the integral
Multiple correct answers
Area of the region bounded by the curves y = ex and curves x = 0 and y = e is
a) e – 1
The value of
is equal to
a) sec−1 (secx + cosx) + c
b) sec−1 (cosx − tanx) + c
c) sec−1 (secx − cosx) + c
d) none of the above
If then the value of u10 + 90u8 is equal to
The area of one of the curvilinear triangle formed by the curve y = sinx, y = cosx and the X – axis is
d) None of these
If f and g are continuous on [0, π] satisfying f (x) + f (π – x) = g (x) + g (π – x) then is equal to
a) π
b) 2 π
If x > 0 and where [.] denotes the greatest integer function, then
a) A = [x] – 1
b) B = − x − [x]
c) A = [x] + 1
d) B = x + [x]
The area above X – axis, bounded by the line x = 4 and the curve y = f (x) where f (x) = x2, 0 ≤ x ≤ 1 and is
a) 2 square units
b) 5 square units
c) 4 square units
d) 9 square units
If , f (0) = 0, then f (1) is equal to
Determine whether the following statements are true or false. Statement 1 Statement 2 f (x) is continuous in [0, 2]
a) True, True
b) True, False
c) False True
d) False, False
The area enclosed between y = x3 and is
a) square units
b) square units
c) square units
d) square units
c) 3
d) 5
The area of the figure bounded by the straight line x = 0, x = 2 and the curves y = 2x, y = 2x – x2 is
The value of the integral is
c) – sin2x + c
a) – 1
b) 1
c) 0
d) None of the above
In (- 4, 4) the function has
a) No extrema
b) One extrema
c) Two extremas
If then
a) a = e, b = − 2
b) a = e, b = 2
c) a = − e, b = 2
d) none of these
The area contained between the curve and X – axis is
a) πa2 square units
b) 3πa2 square units
c) 2πa2 square units
is equal to
