Evaluate the following integral:

Let us assume
………equation 1
By property, we know that ![]()
Thus
….....equation 2
Adding equation 1 and equation 1

We know ![]()

We know ![]()
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Let cos x = y
Differentiating both sides
– sin x dx = dy
sinx dx = – dy
For x = 0
Cos x = y
Cos 0 = y
y = 1
for x = π
![]()
y = – 1
Substituting the given values

We know that ![]()


We know
b and a being the upper and lower limits respectively

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