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Mathematics
Mathematics
Problem
Integrate the following functions w.r.t.
x
x
x
: a.
sin
m
x
\sin mx
sin
m
x
b.
2
x
sin
(
x
2
+
1
)
2x \sin (x^2 + 1)
2
x
sin
(
x
2
+
1
)
c.
tan
4
x
sec
2
x
x
\frac{\tan^4 \sqrt{x} \sec^2 \sqrt{x}}{\sqrt{x}}
x
t
a
n
4
x
s
e
c
2
x
d.
sin
(
tan
−
1
x
)
1
+
x
2
\frac{\sin (\tan^{-1} x)}{1 + x^2}
1
+
x
2
s
i
n
(
t
a
n
−
1
x
)
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