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