Cracking The Ap Calculus ab Exam 2018

(4x^2   −   7)^11   +   C

PROBLEM 4. Evaluate ∫ tan sec^2 dx.

Answer: Let u = tan and du = sec^2 dx. Then 3 du = sec^2 dx.

Substituting, we get

(^3) ∫ u du = u^2 + C
Then substitute back.
tan^2 + C

PRACTICE PROBLEM SET 19

Now evaluate the following integrals. The answers are in Chapter 19.

1.∫ sin 2x cos 2x dx

2.

3.∫ x^3 dx

4.∫ (x^2 + 1)(x^3 + 3x)−5 dx

5.

6.∫ x^2 sec^2 x^3 dx