Evaluate the following integral:

Let ......equation 1


Put


2 – x = y2


Differentiating both sides


– dx = 2ydy


For x = 2


2 – x = y2


2 – 2 = y2


y = 0


For x = 0


2 – x = y2


2 – 0 = y2


y = √2


Substituting the values in equation 1






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


thus


[


Solving this we get


[


[


[


Thus


[


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