Evaluate the definite integral. use the integration capabilities of a graphing utility to verify your result. π/24 cos(12x) 0 dx

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                          

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Integration

Integrals

Integration Rule [Fundamental Theorem of Calculus 1]:                                    

Integration Property [Multiplied Constant]:                                                        

U-Substitution

Step-by-step explanation:

Step 1: Define

Identify

Step 2: Integrate Pt. 1

Identify variables for u-substitution.

Set u:                                                                                                             [u] Differentiate [Basic Power Rule, Derivative Properties]:                       [Bounds] Switch:                                                                                          

Step 3: Integrate Pt. 2

[Integral] Rewrite [Integration Property - Multiplied Constant]:                 [Integral] U-Substitution:                                                                               [Integral] Trigonometric Integration:                                                            Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:           Simplify:                                                                                                        

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Just turn the whole gym into pie

Hey bby was a good way i just got