Question

How do I determine the area of a region bounded by a function and the x-axis if given y=cosx and interval is [0,ð/2]. This has to do with the Fundamental Theorem of Calculus. Thanks in advance!
FTC says that the area is the definite integral.

area = Int(cosx)[0,pi/2]
= sinx [0,pi/2]
= 1 - 0
= 1

Related Questions

A region is bounded by the function y=2x^2+3 and the x-axis over the interval(0,2). Sketch the graph... Determine the area of the region bounded by the given function, the x-axis, and the given vertical l... find the area of the region bounded by the function y=-x^2+5x-4 and the x-axis Approximate the area of the region bounded by the graph of f(t) = (t/2 - pi/8) and the t-axis on [0,...