AP Calculus: integral ∫ln(a+bx^2) dx

3rd/3 ways: Alternate way: Given 2 points, find equation of st line passing the ..

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2nd way: integral ∫ log √x(x^n) dx

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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Review: Linear form, Quadratic form & Bilinear form

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trig Write each expression as an equivalent algebraic expression involving only x.

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2 ways: sq root derivative 1/(√√(1/√x))

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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Growing patterns #3

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3 ways: Derivative x^(-1/x)

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2nd/2 parts: sum Find the sum 2,3,14,24,37,... nth term

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2 ways: Find a formula for d/dx[f^m(x) g^n(x)], where f & g are differentiable functions ...

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3rd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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If y=acos(ln(x)) + bsin(ln(x)), show that x^2y2 + xy1 +y=0

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sq root derivative √x [Good to know the result]

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2 ways: trig integral ∫tan(x)/sec^5(x) dx

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3rd/3 parts: Growing patterns

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2nd way: trig integral ∫sin^6(ax+b) cos^6(ax+b) dx

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trig integral Find cos^2(x) sin(x) dx

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1st/parts: Derivative of the inverse circular functions

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