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Mathematics
JAMB
Determine the value of ∫
0
(π/2)
(-2cosx)dx
A.
(π/2)
B.
-1/2
C.
-3
D.
-3/2
Correct Answer:
(π/2)
Explanation
∫
0
(π/2)
(-2cosx)dx=[-2sinx+c]
0
(π/2)
=(-2sin π/2 + c + 2sin0 - c) = -2sin90 + c + 2sin0 - c.= -2(1) + 2(0) = -2
∫
0
(π/2)
(-2cosx)dx=[-2sinx+c]
0
(π/2)
=(-2sin π/2 + c + 2sin0 - c) = -2sin90 + c + 2sin0 - c.= -2(1) + 2(0) = -2
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