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Find the value of .
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
Find the value of
∫
3
x
2
x
3
+
5
d
x
\displaystyle \int 3x^{2}\sqrt{x^{3}+5}\,dx
∫
3
x
2
x
3
+
5
d
x
. (a)
1
2
(
x
3
+
5
)
3
/
2
+
C
\dfrac{1}{2}(x^{3}+5)^{3/2}+C
2
1
(
x
3
+
5
)
3/2
+
C
(b)
2
3
(
x
3
+
5
)
3
/
2
+
C
\dfrac{2}{3}(x^{3}+5)^{3/2}+C
3
2
(
x
3
+
5
)
3/2
+
C
(c)
3
2
(
x
3
+
5
)
3
/
2
+
C
\dfrac{3}{2}(x^{3}+5)^{3/2}+C
2
3
(
x
3
+
5
)
3/2
+
C
(d)
2
5
(
x
3
+
5
)
5
/
2
+
C
\dfrac{2}{5}(x^{3}+5)^{5/2}+C
5
2
(
x
3
+
5
)
5/2
+
C
Related theory
Integration Techniques
Integration by Substitution
Integrals
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