Q. 235.0( 2 Votes )

# Find the ar

Given equations are:

y = cos x …..(i)

x - axis …..(ii)

x = 0 ……(iii)

x = …..(iv)

A table for values of y = cos x is: - A rough sketch of the curves is given below: - We have to find the area of shaded region.

Required area

= (shaded region ABOA + shaded region BCDB + shaded region DEFD)

(the area can be found by taking a small slice in each region of width Δx, then the area of that sliced part will be yΔx as it is a rectangle and then integrating it to get the area of the whole region) (As x is between (0, ) and the value of y varies) (as y = cos x)

On integrating we get, On applying the limits we get = 1 - 0 + | - 1 - 1| + 0 - ( - 1) = 4

Hence the area bounded by the curve y = cosx, x - axis and the ordinates x = 0 and x = 2π is equal to 4 square units.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Draw a rough sketMathematics - Exemplar

Compute the area Mathematics - Exemplar

Using integrationMathematics - Board Papers

Find the area of Mathematics - Board Papers

Find the area of Mathematics - Exemplar

Evaluate <span laMathematics - Board Papers

The area of the rMathematics - Exemplar

Find the area bouMathematics - Exemplar