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2nd part: STPM Math T Sem.2: 12.1 Numerical solution of Equations
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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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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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable
2nd/3ways: trig integral ∫sec(x) dx
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integral ∫ x dx withOUT using Power rule.
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2nd example: Find the sum -0.31, -0.19, -0.07, 0.05, 0.17, 0.29 via median
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Pure Math: Calculate the coordinates of the two points on the curve
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trig integral ∫1/(√sin(x) √cos^7(x)) dx
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1st/3parts: Mean of 1,2,3,...,n SAME as Mean 1,n
Alternate way: sq root integral ∫1/√((x-α)(x-β)) dx
3 ways: derivative e^y=x
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2nd/2ways: trig Evaluate (sin^6(x) + cos^6(x))/(sin^2(x) cos^2(x)) dx
integral Find ∫1/(9-4x^2) dx
integral Find ∫ x^4 log(x) dx
prob stat: To obtain Grade A, Ben must achieve an average of at least 70 in 5 tests.