Question

find the area of the region bounded by y=cosx between ,x=0 and x=2pi is

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Answer 1

Hlo...@haryyyy.....

Answer = 4 sq units.

See the diagram enclosed .. of Cos x from 0 to 2π.

We need the area under the curve (enclosed between X-axis and the curve).

So Answer = 4 

  Bounded Area = Area A1 + Area A2 + Area A3 + Area A4.

  From symmetry of the curve we know that all the above four areas are equal.

We can also prove that by taking integrals for each of these parts.