passpadi

2007

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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