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2 ways: exp integral ∫(p^x + q^x)/r^x dx

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STPM Math T Sem.2:
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STPM Math T Sem.2:

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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2 ways: sq root derivative 1/(√√(1/√x))

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

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integral ∫ x dx withOUT using Power rule.
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integral ∫ x dx withOUT using Power rule.

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2nd way: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(x)cos(x)cos(4x)cos(8x)cos(16x)cos(32x)cos(64x) dx
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2nd way: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(x)cos(x)cos(4x)cos(8x)cos(16x)cos(32x)cos(64x) dx

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2nd/2parts: Linear interpolation (2 given points)
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2nd/2parts: Linear interpolation (2 given points)

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

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3 ways: rational function integral ∫2x/(x+1)^2 dx

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GPT4: A tweet snippet from Michal Kosinski

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Texas Tech: Find integral #7 ∫xsin(x^2) dx vs #5 ∫xsin^2(x) dx
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Texas Tech: Find integral #7 ∫xsin(x^2) dx vs #5 ∫xsin^2(x) dx

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

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Pure Math: Calculate the coordinates of the two points on the curve

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1st/parts: Derivative of the inverse circular functions

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expon directive a^f(x)

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2nd/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via "picture".

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2nd/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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2nd/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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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]
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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

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4 ways: exp integral ∫a^(bx+c) dx
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