5. Find the area of the region

Calculus
Tutor: None Selected Time limit: 1 Day

Find the area of the region that is bounded by the given curve and lies in the specified sector.

r = e−θ/10,    π/2 ≤ θ ≤ π

Apr 6th, 2015

r2 = e-theta/5

1/2[Integral e-theta/5 d theta between pi/2 to pi]

1/2[( -5 e-theta/5) between pi/2 to pi]

= -5/2 ( e-pi/5- e-pi/10)=5/2(e-pi/10- e-pi/5)

= 5/2(0.730403-0.533488)=

=5/2*0.196915 =0.984573/2= 0.492286


Apr 6th, 2015

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