Evaluate the following integral:

Let us assume …......equation 1


By property, we know that



We know that


Sin(– x) = – sin x


Cos(– x) = cos x


We know


Thus substituting the values, we get,



………………….equation 2


By property, we know that





Thus substituting the values


….....equation 3


Adding equation 2 and equation 3


+


We know





Let


Differentiating both sides




For



y= –1


For x = 0


Cos 0 = y


y = 1


Thus substituting the given values


….equation 4


Now let


Differentiating both sides



For




For




Substituting the values in equation 4







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