1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
First Fundamental Theorem of Calculus
∫0π/2cos x-si...
Question
∫
π
2
0
(
c
o
s
x
−
s
i
n
x
)
e
x
d
x
=
A
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
-1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
B
-1
∫
π
2
0
[
c
o
s
x
+
(
−
s
i
n
x
)
]
e
x
d
x
=
[
e
x
c
o
s
x
]
π
2
0
=
−
1
Suggest Corrections
0
Similar questions
Q.
Evaluate the integral
∫
π
2
0
(
cos
x
−
sin
x
)
e
x
d
x
Q.
sec 70° sin 20° + cos 20° cosec 70° = ?
(a) 0
(b) 1
(c) −1
(d) 2
Q.
Solve for
a
:
3
(
a
+
4
)
+
5
(
a
+
2
)
=
14
Q.
Let
I
1
=
∫
π
2
0
(
cos
x
)
√
13
+
1
d
x
and
I
2
=
∫
π
2
0
(
cos
x
)
√
13
−
1
d
x
, then the value of
[
I
2
I
1
]
is (where
[
⋅
]
is the greatest integer function)
Q.
If x sin (90° − θ) cot (90° − θ) = cos (90° − θ), then x =
(a) 0
(b) 1
(c) −1
(d) 2