Calculus Question

If 0 < k < (pi/2) and the area under the curve y = cos x from x = k to x = (pi/2) is 0.1, then k =

A) 1.471
B) 1.414
C) 1.277
D) 1.120
E) 0.436

Quote:

---

Originally Posted by frozenflames

If 0 < k < (pi/2) and the area under the curve y = cos x from x = k to x = (pi/2) is 0.1, then k =

A) 1.471
B) 1.414
C) 1.277
D) 1.120
E) 0.436

---

Thus, the area is,

Using the fundamental theorem,

Thus,

Thus,

Using the arc sine we get,