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Mathematics
Mathematics
Problem
If
∫
a
b
∣
sin
x
∣
d
x
=
8
\int_{a}^{b} |\sin x| dx = 8
∫
a
b
∣
sin
x
∣
d
x
=
8
and
∫
0
a
+
b
∣
cos
x
∣
d
x
=
9
\int_{0}^{a+b} |\cos x| dx = 9
∫
0
a
+
b
∣
cos
x
∣
d
x
=
9
, then find the value of
∫
a
b
x
sin
x
d
x
\int_{a}^{b} x \sin x dx
∫
a
b
x
sin
x
d
x
.
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