Cracking The Ap Calculus ab Exam 2018

Next, rewrite the integrand.

Now you can use u-substitution. Let u = and du = dx, so 2du = dx.

Now integrate it.

    tan−1 u +   C

And re-substitute.

    tan−1   +   C

PROBLEM 3. Evaluate

Answer: This time, you need to use some algebra by completing the square of the polynomial under the
square root sign.

−x^2    +   4x  −   3   =   −   (x^2    −   4x  +   3)  =   [(x −   2)^2    −   1]  =   [1  −   (x  −   2)^2 ]

Now rewrite the integrand.