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Let be a differentiable function such that
MATHEMATICS · Numerical · CBSE · Mathematics · Integrals · Integrals
Problem
Let
f
f
f
be a differentiable function such that
∫
f
(
x
)
sin
x
d
x
=
−
f
(
x
)
cos
x
+
∫
4
x
3
cos
x
d
x
\int f(x)\sin x\,dx=-f(x)\cos x+\int4x^3\cos x\,dx
∫
f
(
x
)
sin
x
d
x
=
−
f
(
x
)
cos
x
+
∫
4
x
3
cos
x
d
x
. Find a possible function
f
(
x
)
f(x)
f
(
x
)
.
Related theory
Integration by Parts
Integration Techniques
Integrals
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