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AP Calculus BC Monday, 27 January 2014. OBJECTIVE TSW (1) explore properties of inverse trigonometric functions, (2) differentiate inverse trig functions, and (3) review basic differentiation rules. Everything on the schedule is pushed back one day. ASSIGNMENTS DUE Sec. 6.2 wire basket
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AP Calculus BCMonday, 27 January 2014 • OBJECTIVETSW (1) explore properties of inverse trigonometric functions, (2) differentiate inverse trig functions, and (3) review basic differentiation rules. • Everything on the schedule is pushed back one day. • ASSIGNMENTS DUE • Sec. 6.2 wire basket • WS Newton's Law of Cooling black tray • QUIZ Sec. 5.5 & 6.2 will be given after the lesson.
Sec. 5.7: Inverse Trigonometric Functions – Integration Ex: Evaluate Let a = 5, u = x du = dx
Sec. 5.7: Inverse Trigonometric Functions – Integration Ex: Evaluate Let a = 2, u = x du = dx
Sec. 5.7: Inverse Trigonometric Functions – Integration Ex: Evaluate: Let , u = 2x du = 2 dx ½ du = dx
Sec. 5.7: Inverse Trigonometric Functions – Integration Ex: Evaluate Let a = 4, u = 7x 1/7 u = x du = 7 dx 1/7 du = dx
Sec. 5.7: Inverse Trigonometric Functions – Integration Ex: Evaluate Let a = 1, u = ex du = exdx du / ex = dx du / u = dx
Sec. 5.7: Inverse Trigonometric Functions – Integration Ex: Evaluate Let u = 4 – x 2 du = –2xdx –1/2du = xdx
Sec. 5.7: Inverse Trigonometric Functions – Integration Ex: Evaluate The numerator's degree is greater – use long division to separate.
Sec. 5.7: Inverse Trigonometric Functions – Integration Ex: Evaluate
Sec. 5.7: Inverse Trigonometric Functions – Integration Completing the Square Ex: Evaluate
Sec. 5.7: Inverse Trigonometric Functions – Integration Completing the Square Ex: Evaluate
Sec. 5.7: Inverse Trigonometric Functions – Integration Completing the Square Ex: Find the area bounded by the graph of the x-axis, and the lines