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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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A bag contains 5 red balls & 3 green balls. A ball is selected at random &
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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2nd/3ways: trig integral ∫sec(x) dx
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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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example: Mean, Median & Mode
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Show that ar sinh(x) = ln(x + √ (x^2+1))
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Find the Maclurin series for (2x+3)(5x-4)
STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]
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4th/4ways: trig derivative sin(x)
sq root derivative √x [Good to know the result]
sq root log derivative √ ln(f(x))
Compute the derivatives of the following function
Alternate way: trig integral ∫sin(x) dx
4 ways: trig integral ∫sin(x) cos(x) dx
4th way: rational function integral ∫x^3/√ (1+x^2) dx
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integral ∫(x^2+2x)/(x^2+2x+2) dx
3rd/3ways: exp Derivative x^x