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1.
1
f(x) =
sin x + COS X
Given
, which of the following statements is correct?
A)
0,
4
4 2
f(x) is increasing on
and decreasing on
7C
TT
B)
f(x) is increasing on
C)
(0:2)
(0)
(0)
(0:)
(3)
f(x) is decreasing on
D)
1 TT
4 2.
f(x) is decreasing on
and increasing on
E)
TT
TT
-
4
f(x) is decreasing on
and increasing on
2.
using integration by parts, the convenier
x sin x cos x dx
To evaluate the integral
choice is,
A)
U = sinx, v' = x COS X
B)
u = sin 2x, v' = x
C)
u= x sinx, v' = COS X
U=X, V = sin 2x
D)
E) u= x, v' = cos 2x
Sx tan² x dx
U = tan x
и = x
3.
The following method is efficient in computing the integral
A) Substitution Method with
B) Integration by Parts with
v' = sec? x-1
and
u = tanx
v' = x
C) Integration by Parts with
and
Integration by Parts with u'= tan' x and v= x
E) None of the techniques covered so far is efficient.
D)
)
In(1+x)
4.
dx
das
by Integration by Parts, the convenient
(1+x)
To evaluate the integral
A) u = (1+x)', v' = ln x
B) u = (1+x)'. v*= In x
© u = ln (1+x), v' = (1+x)?
D) u = ln (1+x), v' = (1+x)
E)
U=
In(1+x), v'=(1+x)
(1+x)
Page 2
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