Cracking The Ap Calculus ab Exam 2018

And integrate according to the Power Rule.

9 x −   2x^3    +       +   C

PROBLEM 4. Evaluate ∫(4 sin x − 3 cosx) dx.

Answer: Break this problem into two integrals.

(^4) ∫ sin x dx − 3 ∫ cos x dx
Each of these trig integrals can be evaluated according to its rule.
−4 cos x − 3 sin x + C

PROBLEM 5. Evaluate ∫ (2 sec^2 x − 5 csc^2 x) dx.

Answer: Break the integral in two.

(^2) ∫ sec^2 x dx − 5 ∫ csc^2 x dx
Each of these trig integrals can be evaluated according to its rule.
2 tan x + 5 cot x + C

PRACTICE PROBLEM SET 18

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

1.

2.

3.∫ (5x^4 − 3x^2 + 2x + 6) dx

4.∫(3x−3 − 2x−2 + x^4 + 16x^7 ) dx