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If , then can…
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
If
∫
f
(
x
)
cos
x
d
x
=
1
2
f
2
(
x
)
+
C
\int f(x)\cos x\,dx=\frac{1}{2}f^2(x)+C
∫
f
(
x
)
cos
x
d
x
=
2
1
f
2
(
x
)
+
C
, then
f
(
x
)
f(x)
f
(
x
)
can be (1)
x
x
x
(2)
1
1
1
(3)
cos
x
\cos x
cos
x
(4)
sin
x
\sin x
sin
x
Related theory
Differentiation Rules
Antiderivatives
Standard algebraic integrals
Integrals of standard functions
Integrals
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