Evaluate the following definite Integrals:

Here the equation is of form that a quadratic equation is in the root so now to solve this make the equation in the root in the form of a2–x2,a2+x2
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=4–(x–1)2
=22–(x–1)2
Now just recall a formula that is derivative of ![]()
Here a=2 and x =x–1
Now we get
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