Evaluate the following integral:

Let us assume .....equation 1


By property, we know that



.......equation 2


Adding equation 1 and equation 2



We know



……equation 3


Let cosx = y


Differentiating both sides


– sinxdx = dy


sinxdx = – dy


for x = 0


cos0 = y


1 = y


For x = π


cosπ = y


– 1 = y


Substituting equation 3 becomes






2I = 2π/5


I = π/5


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