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Mathematics
Problem
∫
e
x
[
sin
−
1
x
a
+
1
a
2
−
x
2
]
d
x
=
\int e^x \left[ \sin^{-1} \frac{x}{a} + \frac{1}{\sqrt{a^2 - x^2}} \right] dx =
∫
e
x
[
sin
−
1
a
x
+
a
2
−
x
2
1
]
d
x
=
(a)
1
a
e
x
sin
−
1
x
a
+
c
\frac{1}{a} e^x \sin^{-1} \frac{x}{a} + c
a
1
e
x
sin
−
1
a
x
+
c
(b)
a
e
x
sin
−
1
x
a
+
c
a e^x \sin^{-1} \frac{x}{a} + c
a
e
x
sin
−
1
a
x
+
c
(c)
e
x
sin
−
1
x
a
+
c
e^x \sin^{-1} \frac{x}{a} + c
e
x
sin
−
1
a
x
+
c
(d)
e
x
a
2
−
x
2
+
c
\frac{e^x}{\sqrt{a^2 - x^2}} + c
a
2
−
x
2
e
x
+
c
(a)
1
a
e
x
sin
−
1
x
a
+
c
\frac{1}{a} e^x \sin^{-1} \frac{x}{a} + c
a
1
e
x
sin
−
1
a
x
+
c
(b)
a
e
x
sin
−
1
x
a
+
c
a e^x \sin^{-1} \frac{x}{a} + c
a
e
x
sin
−
1
a
x
+
c
(c)
e
x
sin
−
1
x
a
+
c
e^x \sin^{-1} \frac{x}{a} + c
e
x
sin
−
1
a
x
+
c
(d)
e
x
a
2
−
x
2
+
c
\frac{e^x}{\sqrt{a^2 - x^2}} + c
a
2
−
x
2
e
x
+
c
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