Evaluate the following integral:
Let ......equation 1
Put
2 – x = y2
Differentiating both sides
– dx = 2ydy
For x = 2
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
[