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Explain in one clear sentence why the substitution alone does not directly produce an…
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Explain in one clear sentence why the substitution
u
=
x
2
+
1
u=x^{2}+1
u
=
x
2
+
1
alone does not directly produce an elementary antiderivative for
∫
x
sin
(
(
x
2
+
1
)
3
)
d
x
.
\int x\sin\!\bigl((x^{2}+1)^{3}\bigr)\,dx.
∫
x
sin
(
(
x
2
+
1
)
3
)
d
x
.
Related theory
Integration Techniques
Integration by Substitution
Integrals
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