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Mathematics
Mathematics
Problem
If
I
1
=
∫
0
π
/
2
x
sin
x
d
x
I_1 = \int_{0}^{\pi/2} x \sin x \, dx
I
1
=
∫
0
π
/2
x
sin
x
d
x
and
I
2
=
∫
0
π
/
2
x
cos
x
d
x
I_2 = \int_{0}^{\pi/2} x \cos x \, dx
I
2
=
∫
0
π
/2
x
cos
x
d
x
, then which one of the following is true? (2006, 2013) (a)
I
1
+
I
2
=
π
2
I_1 + I_2 = \frac{\pi}{2}
I
1
+
I
2
=
2
π
(b)
I
1
=
π
2
I
2
I_1 = \frac{\pi}{2} I_2
I
1
=
2
π
I
2
(c)
I
1
+
I
2
=
0
I_1 + I_2 = 0
I
1
+
I
2
=
0
(d)
I
1
=
I
2
I_1 = I_2
I
1
=
I
2
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