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
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