Evaluate the following definite Integrals:


Since it is a quadratic equation we are trying to make it a complete square






=here the equation is in the form of integral of the integral is equal to


Here let us assume that t=x–


So that dx=dt


When x=0 t=–1/2


And when x=–1/2, t=3/2




]


]


)]




Now rationalize the denominator


We get as



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