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If , then…
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
If
∫
1
+
sin
x
f
(
x
)
d
x
=
2
3
(
1
+
sin
x
)
3
/
2
+
c
\int \sqrt{1 + \sin x}\, f(x)\,dx = \frac{2}{3}(1 + \sin x)^{3/2} + c
∫
1
+
sin
x
f
(
x
)
d
x
=
3
2
(
1
+
sin
x
)
3/2
+
c
, then
f
(
x
)
f(x)
f
(
x
)
equals (a)
cos
x
\cos x
cos
x
(b)
sin
x
\sin x
sin
x
(c)
tan
x
\tan x
tan
x
(d)
1
1
1
Related theory
Advanced Differentiation
Integration Techniques
Integration by Substitution
Integrals
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