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CBSE
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
If
∫
e
x
(
1
+
sin
x
)
d
x
1
+
cos
x
=
e
x
f
(
x
)
+
c
\int \frac{e^x (1 + \sin x)\,dx}{1 + \cos x} = e^x f(x) + c
∫
1
+
c
o
s
x
e
x
(
1
+
s
i
n
x
)
d
x
=
e
x
f
(
x
)
+
c
, then
f
(
x
)
=
f(x) =
f
(
x
)
=
(a)
sin
x
2
\sin \frac{x}{2}
sin
2
x
(b)
cos
x
2
\cos \frac{x}{2}
cos
2
x
(c)
tan
x
2
\tan \frac{x}{2}
tan
2
x
(d)
log
x
2
\log \frac{x}{2}
lo
g
2
x
Related theory
Integration Techniques
Standard trigonometric integrals
Integration using trigonometric identities
Integrals
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