CAT Exam Model Paper 1 with solutions for free online practice

Question : 81 of 100

Marks: +1, -0

Find the net area between y = sin x and the x-axis between the values x = 0 and x = 2π

Solution:

Given: limits a = 0 and b = 2 π
f( x) = sin x
Area under a curve =

∫↙{{a}}↖{b}

f (x) dx
Substituting limits and f( x), we get

∫ ↙{{ 0 }} ↖{ { 2 π}} \sin x d x = ( - \cos x ) _ { 0 } ^ { 2 x } = ( - \cos 2 π ) - ( - \cos 0 )

= (− 1) −(− 1)= 0

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