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


Here


=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






42