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2nd way: integral ∫ log √x(x^n) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
2 ways: integral (3+5x)/(x(x-1)) dx
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integral ∫ x dx withOUT using Power rule.
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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trig Write each expression as an equivalent algebraic expression involving only x.
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Alternate way: log integral ∫1/(bx+xln(ax^r)) dx
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hyper trig integral ∫cosh(x) a^(logb(sinh(x)) ))dx
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2nd part: n^2 = (tn - tn-1)^2 where tn = nth triangular number
A function f is called even if f(-x)=f(x) for ALL x in the domain of f &
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4th/4parts: Maclaurin Series [ahp kia]
2nd/3ways: Laplace Show that ...
Review: trig sin(x+90)= cos(x) & cos(x+90)=-sin(x)
2nd way: STPM Math 2 Sem.2 Ex 11.4 Find the first 4 terms in the Maclaurin series of each of ...
Find the Maclurin series for (2x+3)(5x-4)
Review Add Math: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers
3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule
2 ways: trig Prove the identity sin(2x)=2/(tan(x)+cot(x))