AP Calculus BC Friday, 05 February 2016 OBJECTIVE TSW (1) explore properties of inverse trigonometric functions, (2) differentiate inverse trig functions,

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AP Calculus BC Friday, 05 February 2016 OBJECTIVE TSW (1) explore properties of inverse trigonometric functions, (2) differentiate inverse trig functions, and (3) review basic differentiation rules. ASSIGNMENTS DUE –WS Bases Other Than e  to the left of the wire basket –WS Differential Equations: Growth and Decay  wire basket –WS Newton’s Law of Cooling  black tray QUIZ: Other Bases; Growth and Decay will be given after the lesson. TEST: Transcendental Functions – Differentiation and Integration will be on Tuesday, 09 February 2016.

AP Calculus BC Friday, 05 February 2016 OBJECTIVE TSW (1) explore properties of inverse trigonometric functions, (2) differentiate inverse trig functions, and (3) review basic differentiation rules. ASSIGNMENTS DUE –WS Bases Other Than e  to the left of the wire basket –WS Differential Equations: Growth and Decay  wire basket –WS Newton’s Law of Cooling  black tray QUIZ: Other Bases; Growth and Decay will be given after the lesson. TEST: Transcendental Functions – Differentiation and Integration will be on Tuesday, 09 February ND P ERIOD : 1 st period2 ND P ERIOD : For those participating in the Economics Fair next Friday, try to come for the lesson next Friday during 1 st period.

Inverse Trigonometric Functions – Integration

Ex:Evaluate Let a = 5, u = x du = dx

Inverse Trigonometric Functions – Integration Ex:Evaluate Let a = 2, u = x du = dx

Inverse Trigonometric Functions – Integration

Ex:Evaluate: Let, u = 2x du = 2 dx ½ du = dx

Inverse Trigonometric Functions – Integration

Ex:Evaluate Let a = 4, u = 7x 1/7 u = x du = 7 dx 1/7 du = dx

Inverse Trigonometric Functions – Integration Ex:Evaluate Let a = 1, u = e x du = e x dx du / e x = dx du / u = dx

AP Calculus BC Monday, 08 February 2016 OBJECTIVE TSW (1) finish exploring integration of trigonometric functions, and (2) review for tomorrow’s test covering differentiation and integration of transcendental functions. ASSIGNMENTS DUE TOMORROW –WS Inverse Trigonometric Functions: Differentiation –WS Inverse Trigonometric Functions: Integration TEST: Transcendental Functions – Differentiation and Integration is tomorrow, Tuesday, 09 February 2016.

Inverse Trigonometric Functions – Integration Ex:Evaluate Let u = 4 – x 2 du = –2x dx –1/2 du = x dx

Inverse Trigonometric Functions – Integration Ex:Evaluate The numerator's degree is greater – use long division to separate.

Inverse Trigonometric Functions – Integration

Ex:Evaluate

Inverse Trigonometric Functions – Integration Ex:Evaluate Completing the Square

Inverse Trigonometric Functions – Integration Ex:Evaluate Completing the Square

Inverse Trigonometric Functions – Integration Ex:Find the area bounded by the graph of the x-axis, and the lines Completing the Square