Mathematics

Determine the value of (int_0 ^{frac{pi}{2} }(-2cos x)dx)

Determine the value of (int_0 ^{frac{pi}{2}
}(-2cos x)dx)
  • A.
    -2
  • B.
    1/2
  • C.
    -3
  • D.
    3/2
Correct Answer: Option A
Explanation

(int_0 ^{frac{pi}{2}}(-2cos x)dx = [-2sin x + c]_0 ^{frac{pi}{2}}\
=(-2sinfrac{pi}{2}+c+2sin0-c)\
=-2sin90+c+2sin0-c\
=-2(1)+2(0)\
=-2)