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ISC
MATHEMATICS · Subjective · ISC · Mathematics · Physics · Calculus
Problem
If
f
(
x
)
=
x
+
∫
0
1
(
x
y
2
+
x
2
y
)
f
(
y
)
d
y
f(x) = x + \int_{0}^{1} (xy^2 + x^2 y) f(y)\,dy
f
(
x
)
=
x
+
∫
0
1
(
x
y
2
+
x
2
y
)
f
(
y
)
d
y
, find
f
(
x
)
f(x)
f
(
x
)
.
Related theory
Antiderivatives
Functions
Properties of Definite Integrals
Substitution method
Second fundamental theorem of calculus
Number pyramids
Integrals of standard functions
Elimination method
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