NidaFurqan
10.07.2019 •
Mathematics
Iam not quite sure about this question, but is it b or c?
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Ответ:
Ответ:
General Formulas and Concepts:
Pre-Calculus
Partial Fraction DecompositionCalculus
Differentiation
DerivativesDerivative NotationDerivative Property [Addition/Subtraction]:
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsIntegration Rule [Fundamental Theorem of Calculus 1]:
Integration Property [Multiplied Constant]:
Integration Property [Addition/Subtraction]:
U-Substitution
Step-by-step explanation:
Step 1: Define
Identify
Step 2: Integrate Pt. 1
[Integral] Rewrite [Integration Property - Multiplied Constant]: [Integrand] Factor:Step 3: integrate Pt. 2
[Integrand] Split [Partial Fraction Decomp]: [Decomp] Rewrite: [Decomp] Substitute in y = -2: Simplify: Solve: [Decomp] Substitute in y = 11: Simplify: Solve: [Split Integrand] Substitute in variables:Step 4: Integrate Pt. 3
[Integral] Rewrite [Split Integrand]: [Integral] Rewrite [Integration Property - Addition/Subtraction]: [Integrals] Rewrite [Integration Property - Multiplied Constant]:Step 5: Integrate Pt. 4
Identify variables for u-substitution.
Integral 1
Set u: [u] Differentiation [Basic Power Rule, Derivative Properties]: [Bounds] Switch:Integral 2
Set v: [v] Differentiate [Basic Power Rule, Derivative Properties]: [Bounds] Switch:Step 6: Integrate Pt. 5
[Integrals] U-Substitution: [Integrals] Logarithmic Integration: Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: Simplify: Simplify: Simplify:Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration