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CBSE
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
Evaluate
∫
x
2
(
x
3
+
4
)
4
/
3
d
x
\displaystyle \int \frac{x^{2}}{(x^{3}+4)^{4/3}}\,dx
∫
(
x
3
+
4
)
4/3
x
2
d
x
. (a)
1
(
x
3
+
4
)
1
/
3
+
C
\dfrac{1}{(x^{3}+4)^{1/3}} + C
(
x
3
+
4
)
1/3
1
+
C
(b)
−
1
(
x
3
+
4
)
1
/
3
+
C
-\dfrac{1}{(x^{3}+4)^{1/3}} + C
−
(
x
3
+
4
)
1/3
1
+
C
(c)
−
3
(
x
3
+
4
)
1
/
3
+
C
-\dfrac{3}{(x^{3}+4)^{1/3}} + C
−
(
x
3
+
4
)
1/3
3
+
C
(d)
−
1
4
(
x
3
+
4
)
1
/
3
+
C
-\dfrac{1}{4(x^{3}+4)^{1/3}} + C
−
4
(
x
3
+
4
)
1/3
1
+
C
Related theory
Integration Techniques
Integration by Substitution
Integrals
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