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If
∫
x
a
3
−
x
3
d
x
=
d
b
sin
−
1
(
x
3
/
2
a
3
/
2
)
+
C
\int \sqrt{\frac{x}{a^3 - x^3}} dx = \frac{d}{b} \sin^{-1} \left( \frac{x^{3/2}}{a^{3/2}} \right) + C
∫
a
3
−
x
3
x
d
x
=
b
d
sin
−
1
(
a
3/2
x
3/2
)
+
C
…
Mathematics
Problem
If
∫
x
a
3
−
x
3
d
x
=
d
b
sin
−
1
(
x
3
/
2
a
3
/
2
)
+
C
\int \sqrt{\frac{x}{a^3 - x^3}} dx = \frac{d}{b} \sin^{-1} \left( \frac{x^{3/2}}{a^{3/2}} \right) + C
∫
a
3
−
x
3
x
d
x
=
b
d
sin
−
1
(
a
3/2
x
3/2
)
+
C
, (where b & d are coprime integer) then b + d equals to
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