CAT Exam Model Paper 2 with solutions for free online practice

Question : 94 of 100

Marks: +1, -0

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

Solution:

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

∫↙{a}↖{b}\f(x)\dx

Subsituting limits and f(x), we get

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

= | ( - \cos 2 \π) - ( - \cos \π ) |

= | ( - 1 ) - ( 1 ) | = | - 2 | = 2

Go to Question:

Prev Question

Next Question