on a winter’s morning, the temperature was 0°F. The temperature increased during the daytime. At night, the temperature decrease
2 answers:
You might be interested in
Answer:
General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]:
Derivative Property [Addition/Subtraction]:
Derivative Rule [Basic Power Rule]:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Integration
- Integrals
Integration Rule [Reverse Power Rule]:
Integration Property [Multiplied Constant]:
Integration Methods: U-Substitution and U-Solve
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given.</em>
<em />
<u>Step 2: Integrate Pt. 1</u>
<em>Identify variables for u-substitution/u-solve</em>.
- Set <em>u</em>:
- [<em>u</em>] Differentiate [Derivative Rules and Properties]:
- [<em>du</em>] Rewrite [U-Solve]:
<u>Step 3: Integrate Pt. 2</u>
- [Integral] Apply U-Solve:
- [Integrand] Simplify:
- [Integral] Rewrite [Integration Property - Multiplied Constant]:
- [Integral] Apply Integration Rule [Reverse Power Rule]:
- [<em>u</em>] Back-substitute:
∴ we have used u-solve (u-substitution) to <em>find</em> the indefinite integral.
---
Learn more about integration: brainly.com/question/27746495
Learn more about Calculus: brainly.com/question/27746485
---
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration