Definite integral of radical in denominator:

We will use the Fundamental Theorem of Calculus. First, rewrite the integral as a power:

We shall try the General Power rule for integrals. Let , n = 1/2, and
, or

As we rewrite the problem in terms of u, we shall drop the limits from the integral sign because they are not values of u. We shall restore them when we re-express the indefinite integral result in terms of x.

Finally, we substitute the limits and subtract:

Test Problem:

a)

b)

c)

d)