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
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Now rationalize the denominator
We get as