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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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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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integral ∫ x dx withOUT using Power rule.
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trig Write each expression as an equivalent algebraic expression involving only x.
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exp integral ∫a^(√√x^3)/√√x dx
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COMMON MISTAKE!: directive d/dx(sin(x) cos(x)) ≠ d/dx(sin(x)) d/dx(cos(x))
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Quickie: 6169^2 - 2331^2?
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4 ways: sum Find the sum of the values of 4+3i for i=1,2,...,100
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2nd/3part: Maclaurin Series [ahp kia]
2nd/2parts: Linear interpolation (2 given points)
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1st/2 parts stat: SLR SLR Regression lline always goes through the point (x̄, ȳ)
2nd way: integral ∫1/(a + √√b (x^2)) dx
Ex11.6 STPM Math T Sem.2 Find the fir st 4 terms in the expansion of the following functions
3 ways: If y=x/(1+x^2) find dy/dx.
diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable
3rd way: rational function integral ∫x^3/√ (1+x^2) dx
1st way: STPM Math T Sem2 By using the Maclaurin's theorem show that ...