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If , where is the constant of integration, then is equal…
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
If
∫
x
3
(
ln
x
)
2
d
x
=
x
4
32
(
a
(
ln
x
)
2
+
b
(
ln
x
)
+
c
)
+
d
\int x^3 (\ln x)^2\,dx = \frac{x^4}{32}(a(\ln x)^2 + b(\ln x) + c) + d
∫
x
3
(
ln
x
)
2
d
x
=
32
x
4
(
a
(
ln
x
)
2
+
b
(
ln
x
)
+
c
)
+
d
, where
d
d
d
is the constant of integration, then
(
a
+
b
+
c
)
(a + b + c)
(
a
+
b
+
c
)
is equal to (a) 13 (b) 11 (c) 5 (d) 8
Related theory
Integration by Parts
Integration Techniques
Integrals
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