Logical equivalent involving ... tautology & contradiction

2nd/3part: Maclaurin Series [ahp kia]

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2nd/3ways: trig integral ∫sec(x) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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

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

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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

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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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alternate way: count sum 1+3+5+ ... +(2n-1)

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I.B.P Derivation [Integration By Parts]

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A bag contains 20 identical red marbles, 20 identical green marbles, & 20 identical blue marbles.

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3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule

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Alternate way: trig integral ∫cos(x) dx

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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

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Always ZERO

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4 ways: trig integral ∫sin(x) cos(x) dx

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2nd Alternate trig ∫integral sin(x) dx

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