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Integrals
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Integrals
TEST : 1
# Integrals
# CBSE 12th Mathematics
Prepare / Learn
Q1.
The function
f
(
x
)
=
∫
0
x
log
(
t
+
1
+
t
2
)
−
−
−
−
−
√
d
t
is
A.
a periodic function
B.
an even function
C.
Neither odd nor Even
D.
an odd function
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Integrals
# CBSE 12th Mathematics
Prepare / Learn
Q2.
∫
−
π
/
2
π
/
2
cos
t dt is equal to
A.
-1
B.
1
C.
2
D.
0
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
=
[
sin
t
]
π
/
2
−
π
/
2
=
sin
π
2
−
sin
(
−
π
2
)
=
1
+
1
=
2
# Integrals
# CBSE 12th Mathematics
Prepare / Learn
Q3.
∫
−
1
1
|
2
x
−
1
|
dx is equal to
A.
-2
B.
1/2
C.
-1/2
D.
5/2
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# Integrals
# CBSE 12th Mathematics
Prepare / Learn
Q4.
∫
0
π
/
2
1
1
+
tan
x
d
x
is equal to
A.
π/4
B.
3π/2
C.
1
D.
π
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
# Integrals
# CBSE 12th Mathematics
Prepare / Learn
Q5.
∫
0
π
/
2
1
1
+
sin
x
d
x
is equal to
A.
1/2
B.
1
C.
3/2
D.
0
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Integrals
# CBSE 12th Mathematics
Prepare / Learn
Q6.
∫
0
π
/
2
log
|
cos
x
|
dx is equal to
A.
−
π
3
log
3
B.
π
2
log
3
C.
π log 2
D.
−
π
2
log
2
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# Integrals
# CBSE 12th Mathematics
Prepare / Learn
Q7.
∫
−
π
/
2
π
/
2
sin
9
x
d
x
is equal to
A.
0
B.
2.8.4.2
9.7.5.3
C.
1
D.
8.4.2
9.7.5.3
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
Note that
sin
9
x
is an odd function, therefore,
∫
−
π
/
2
π
/
2
sin
9
x
d
x
=
0
# Integrals
# CBSE 12th Mathematics
Prepare / Learn
Q8.
∫
0
π
/
2
log
(tan x) dx is equal to
A.
π
2
log
2
B.
−
π
2
log
2
C.
1
D.
∫
0
π
/
2
log
(cot x) dx
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# Integrals
# CBSE 12th Mathematics
Prepare / Learn
Q9.
∫
0
π
/
2
log
(cot x) dx is equal to
A.
0
B.
−
π
2
log
3
C.
3
π
2
log
5
D.
π
2
log
2
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
# Integrals
# CBSE 12th Mathematics
Prepare / Learn
Q10.
∫
−
2
2
x
|
x
|
d
x
is equal to
A.
0
B.
-8/3
C.
-2
D.
8/3
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
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