Class 12

Math

Calculus

Application of Integrals

Find the area bounded by the curve $y=sinx$ between $x=0$ and $x=2π$

$∴$ Required area $=AreaOABO+AreaBCDB$

$=∫_{0}sinxdx+∣∣ ∫_{π}sinxdx∣∣ $

$=[−cosx]_{0}+∣∣ [−cosx]_{π}∣∣ $

$=[−cosπ+cos0]+∣−cos2π+cosπ∣$

$=1+1+∣(−1−1)∣$

$=2+∣−2∣$

$=2+2=4$ sq. units