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Mathematics
Mathematics
Problem
Find
∫
x
5
x
2
−
2
d
x
\displaystyle \int x\sqrt{5x^{2}-2}\,dx
∫
x
5
x
2
−
2
d
x
. a)
1
5
(
5
x
2
−
2
)
3
/
2
+
C
\dfrac15\bigl(5x^{2}-2\bigr)^{3/2}+C
5
1
(
5
x
2
−
2
)
3/2
+
C
b)
1
15
(
5
x
2
−
2
)
1
/
2
+
C
\dfrac1{15}\bigl(5x^{2}-2\bigr)^{1/2}+C
15
1
(
5
x
2
−
2
)
1/2
+
C
c)
1
15
(
5
x
2
−
2
)
3
/
2
+
C
\dfrac1{15}\bigl(5x^{2}-2\bigr)^{3/2}+C
15
1
(
5
x
2
−
2
)
3/2
+
C
d)
1
10
(
5
x
2
−
2
)
3
/
2
+
C
\dfrac1{10}\bigl(5x^{2}-2\bigr)^{3/2}+C
10
1
(
5
x
2
−
2
)
3/2
+
C
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