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AP Calculus AB > Unit 08 > 8.04 - Antidfferentation by Substitution (Day 2)-
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This document features digitally handwritten notes covering Chapter 5 - Integrals for AP Calculus. It includes: Section 5.1 - Riemann Sums & Trapezoidal Rule; Section 5.2 - Intro to Riemann Sums; Section 5.3 - First & Second Fundamental Theorem of Calculus; and Section 5.5 - Substitution Rule for Definite & Indefinite Integrals. Boost your online business with these creative eclasses. Each page includes an explanation of the topic as well as. Answers to AP Calculus AB Review 5.1: Correct 6 Weeks Exam, Derivatives Circuit. Derivatives Circuit Answer Key; 5.2: FRQ Modules 1-4. Powerpoint with Questions and Answers; AP Calculus AB Review 1; 5.3: FRQ Modules 5-8 Powerpoint with Questions and Answers; AP Calculus AB Review 2; 5.4: 2016 MC Questions from BC Exam Day 1 2018 AB 5. Calculus 2018-2019: Summer Assignment Mr. Kevin Braun (kbraun@bdcs.org) Bishop Dunne Catholic School Calculus Summer Math Practice Please see the math department document for instructions on setting up an account, entering the Calculus class, and using the website. If you have any questions, be sure to contact me at kbraun@bdcs.org. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Unit 1: early chinamac's history on this day. Happy memorial day!.
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Section 1-3 : Trig Substitutions
For problems 1 – 8 use a trig substitution to eliminate the root.
- (sqrt {4 - 9{z^2}} ) Solution
- (sqrt {13 + 25{x^2}} ) Solution
- ({left( {7{t^2} - 3} right)^{frac{5}{2}}}) Solution
- (sqrt {{{left( {w + 3} right)}^2} - 100} ) Solution
- (sqrt {4{{left( {9t - 5} right)}^2} + 1} ) Solution
- (sqrt {1 - 4z - 2{z^2}} ) Solution
- ({left( {{x^2} - 8x + 21} right)^{frac{3}{2}}}) Solution
- (sqrt {{{bf{e}}^{8x}} - 9} ) Solution
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AP Calculus AB > Unit 08 > 8.04 - Antidfferentation by Substitution (Day 2)-
|
This document features digitally handwritten notes covering Chapter 5 - Integrals for AP Calculus. It includes: Section 5.1 - Riemann Sums & Trapezoidal Rule; Section 5.2 - Intro to Riemann Sums; Section 5.3 - First & Second Fundamental Theorem of Calculus; and Section 5.5 - Substitution Rule for Definite & Indefinite Integrals. Boost your online business with these creative eclasses. Each page includes an explanation of the topic as well as. Answers to AP Calculus AB Review 5.1: Correct 6 Weeks Exam, Derivatives Circuit. Derivatives Circuit Answer Key; 5.2: FRQ Modules 1-4. Powerpoint with Questions and Answers; AP Calculus AB Review 1; 5.3: FRQ Modules 5-8 Powerpoint with Questions and Answers; AP Calculus AB Review 2; 5.4: 2016 MC Questions from BC Exam Day 1 2018 AB 5. Calculus 2018-2019: Summer Assignment Mr. Kevin Braun (kbraun@bdcs.org) Bishop Dunne Catholic School Calculus Summer Math Practice Please see the math department document for instructions on setting up an account, entering the Calculus class, and using the website. If you have any questions, be sure to contact me at kbraun@bdcs.org. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Unit 1: early chinamac's history on this day. Happy memorial day!.
Show All NotesHide All NotesSection 1-3 : Trig Substitutions
For problems 1 – 8 use a trig substitution to eliminate the root.
- (sqrt {4 - 9{z^2}} ) Solution
- (sqrt {13 + 25{x^2}} ) Solution
- ({left( {7{t^2} - 3} right)^{frac{5}{2}}}) Solution
- (sqrt {{{left( {w + 3} right)}^2} - 100} ) Solution
- (sqrt {4{{left( {9t - 5} right)}^2} + 1} ) Solution
- (sqrt {1 - 4z - 2{z^2}} ) Solution
- ({left( {{x^2} - 8x + 21} right)^{frac{3}{2}}}) Solution
- (sqrt {{{bf{e}}^{8x}} - 9} ) Solution
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For problems 9 – 16 use a trig substitution to evaluate the given integral.
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- ( displaystyle int{{frac{{sqrt {{x^2} + 16} }}{{{x^4}}},dx}}) Solution
- ( displaystyle int{{sqrt {1 - 7{w^2}} ,dw}}) Solution
- ( displaystyle int{{{t^3}{{left( {3{t^2} - 4} right)}^{frac{5}{2}}},dt}}) Solution
- ( displaystyle int_{{ - 7}}^{{ - 5}}{{frac{2}{{{y^4}sqrt {{y^2} - 25} }},dy}}) Solution
- ( displaystyle int_{1}^{4}{{2{z^5}sqrt {2 + 9{z^2}} ,dz}}) Solution
- ( displaystyle int{{frac{1}{{sqrt {9{x^2} - 36x + 37} }},dx}}) Solution
- ( displaystyle int{{frac{{{{left( {z + 3} right)}^5}}}{{{{left( {40 - 6z - {z^2}} right)}^{frac{3}{2}}}}},dz}}) Solution
- ( displaystyle int{{cos left( x right)sqrt {9 + 25 sin^2left( x right)} ,dx}}) Solution