5 Steps to a 5 AP Calculus AB 2019 - William Ma

MA 3972-MA-Book April 11, 2018 15:14 222 STEP 4. Review the Knowledge You Need to Score High Thenf′(x)=−sinxand f′( 45 ◦)= f′ ( ...

MA 3972-MA-Book April 11, 2018 15:14 More Applications of Derivatives 223 1 1 2 1 v(t) (^0) 23 45 2 v t Figure 10.7-2 (a) Att ...

MA 3972-MA-Book April 11, 2018 15:14 224 STEP 4. Review the Knowledge You Need to Score High t = 2 t = 1 t = 0 t > 2 s(t) 3 ...

MA 3972-MA-Book April 11, 2018 15:14 More Applications of Derivatives 225 Step 1: s(t)=sint v(t)=cost a(t)=−sint Step 2: Setv(t ...

MA 3972-MA-Book April 11, 2018 15:14 226 STEP 4. Review the Knowledge You Need to Score High dy dx ∣∣ ∣∣ y= 2 = 1 3(2)^2 −6(2)+ ...

MA 3972-MA-Book May 8, 2018 13:52 CHAPTER 11 Big Idea 3: Integrals and the Fundamental Theorems of Calculus Integration IN THIS ...

MA 3972-MA-Book May 8, 2018 13:52 228 STEP 4. Review the Knowledge You Need to Score High 11.1 Evaluating Basic Integrals Main C ...

MA 3972-MA-Book May 8, 2018 13:52 Integration 229 Differentiation Formulas (cont.): Integration Formulas (cont.): 10. d dx (lnx) ...

MA 3972-MA-Book May 8, 2018 13:52 230 STEP 4. Review the Knowledge You Need to Score High Evaluating Integrals INTEGRAL REWRITE ...

MA 3972-MA-Book May 8, 2018 13:52 Integration 231 Example 3 If dy dx = 3 x^2 +2, and the point (0,−1) lies on the graph ofy, fin ...

MA 3972-MA-Book May 8, 2018 13:52 232 STEP 4. Review the Knowledge You Need to Score High Example 9 Evaluate ∫ sinx− 1 cos dx. R ...

MA 3972-MA-Book May 8, 2018 13:52 Integration 233 11.2 Integration by U-Substitution Main Concepts:The U-Substitution Method, U- ...

MA 3972-MA-Book May 8, 2018 13:52 234 STEP 4. Review the Knowledge You Need to Score High Example 1 Evaluate ∫ x(x+1)^10 dx. Ste ...

MA 3972-MA-Book May 8, 2018 13:52 Integration 235 Step 3: Rewrite: ∫ u^2 /^3 du 2 = 1 2 ∫ u^2 /^3 du. Step 4: Integrate: 1 2 ( u ...

MA 3972-MA-Book May 8, 2018 13:52 236 STEP 4. Review the Knowledge You Need to Score High Example 2 Evaluate ∫ 3 ( sec^2 x )√ ta ...

MA 3972-MA-Book May 8, 2018 13:52 Integration 237 Step 3: Rewrite: ∫ √^1 9 −u^2 du 2 = 1 2 ∫ √du 32 −u^2 . Step 4: Integrate: 1 ...

MA 3972-MA-Book May 8, 2018 13:52 238 STEP 4. Review the Knowledge You Need to Score High U-Substitution and Logarithmic and Exp ...

MA 3972-MA-Book May 8, 2018 13:52 Integration 239 Step 3: Rewrite: 4 ∫ 1 u du. Step 4: Integrate: 4 ln|u|+C. Step 5: Replaceu:4l ...

MA 3972-MA-Book May 8, 2018 13:52 240 STEP 4. Review the Knowledge You Need to Score High Example 6 Evaluate ∫ ex ex+ 1 dx. Step ...

MA 3972-MA-Book May 8, 2018 13:52 Integration 241 Example 9 Evaluate ∫ x^35 (x (^4) ) dx. Step 1: Letu=x^4. Step 2: Differentiat ...