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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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2 ways: sq root derivative 1/(√√(1/√x))
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Review: Linear form, Quadratic form & Bilinear form
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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Swinburne U 2nd way: e^(-e^x) e^x dx
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3 ways: Derivative x^(-1/x)
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2 ways: Find a formula for d/dx[f^m(x) g^n(x)], where f & g are differentiable functions ...
Growing patterns #3
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William & Mary Math 112: trig integral x cos(3x) dx
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exp integral e^2x/(1+e^x) dx
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Lamar U: Derivatives of Exponential & Log Functions Practice Problems.
diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable
4 ways: Evaluate Σ(2k+1) k=1,20
3 ways: Derivative y=x^(m/n)
4ways: exp trig integral ∫ e^(cos^2(x)) sin(2x) dx
prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
Alternate way: log integral ∫1/(x+xln(2x))
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