Maharashtra State BoardHSC Arts 12th Board Exam
Advertisement Remove all ads

Find the area of the region bounded by the curve y = sinx, the lines x=-π/2 , x=π/2 and X-axis - Mathematics and Statistics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
Sum

Find the area of the region bounded by the curve y = sinx, the lines x=-π/2 , x=π/2 and X-axis

Advertisement Remove all ads

Solution

Required area= where y=sinx , 0 ≤ x ≤ `pi/2`

A = `int_0^(pi/2) sin  x  dx`

`= [- "cos x"]_0^(pi/2)`

`= "cos" pi/2 + "cos"  0 = 0 + 1 = 1` sq.units

Concept: Area of the Region Bounded by a Curve and a Line
  Is there an error in this question or solution?

APPEARS IN

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×