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NDA Math Indefinite Integrals
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© examsnet.com
Question : 20
Total: 38
What is
∫
sin
3
x
cos
x
dx
equal to?
[NDA II 2018]
cos
4
x
+
c
sin
4
x
+
c
(
1
−
sin
2
x
)
2
4
+
c
(
1
−
cos
2
x
)
2
4
+
c
Validate
Solution:
Let
t
=
sin
x
⇒
dt
=
cos
x
dx
∫
sin
3
x
cosxdx
=
∫
t
3
d
t
=
t
4
4
+
c
=
sin
4
x
4
+
c
=
(
1
−
cos
2
x
)
2
4
+
c
© examsnet.com
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