Question

The area enclosed by the curves y = sinx + cosx and y = |cosx - sinx| over the interval [0, π/2] is

(A) 4(√2 -1)

(B) 2√2(√2 - 1)

(C) 2(√2 + 1)

(D) 2√2(√2 + 1)

Answer 1

Answer is (B) 2√2(√2 - 1)

Figure depicts the area enclosed by the given curves, we have