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3 ways: trig Show sec(2x)=sec^2(x)/(2-sec^2(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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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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2nd way: integral ∫ log √x(x^n) dx
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2nd part: n^2 = (tn - tn-1)^2 where tn = nth triangular number
Cancellation Law ❌ Matrices
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2 ways: exp integral ∫(p^x + q^x)/r^x dx
2nd/3 parts: Growing patterns
1st/2ways: r-Permutations
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3 ways: exp integral e^(2x)/(1+e^x) dx
2 ways: trig derivative log(sec(x/2)+tan(x/2))
2 ways: trig integral ∫cos^2(x) dx
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A function f is called even if f(-x)=f(x) for ALL x in the domain of f &
integral ∫√(x-a)/x dx
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If ∫ 2^(1/x)/x^2 dx = a 2^(1/x) +C, then a is?
Growing patterns #2
2 ways: log exp derivative ln(x) e^(2ln(x))
count show Σak+b = aΣk + nb where k=1 to n