Evaluate the following integral:
Let us assume .....….equation 1
By property, we know that
thus
.....………….equation 2
Since
Adding equation 1 and equation 2
We know
Thus
Adding and subtracting 1
)
We know
)
Let
Let
.......equation 3
Solving I1:
We know b and a being the upper and lower limits respectively.
Solving I2:
Using trigonometric identity and formula
Taking common
Let
Differentiating both sides, we get,
For x = 0
For x = π
Substituting the values
Thus
We know b and a being the upper and lower limits respectively
Substituting values in equation 3