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





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