Answer to Question #124231 in Calculus for perveen

Question #124231
Find the area under the curve y=arccosx between x=0 and x=1 and choose the right option
a:pi
b:cos pi/2
c:2 pi
d:sin pi/2
1
Expert's answer
2020-06-29T18:34:58-0400

As x=cosyx=\cos y, if 0<x<10<x<1 then 0<y<π/20<y<\pi/2 and the area under the curve is

S=0π/2cosydy=siny0π/2=sinπ/2S=\int_{0}^{\pi/2}\cos ydy=\sin y|_0^{\pi/2}=\sin \pi/2

The option (d)


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