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4 ways: Evaluate Σ(2k+1) k=1,20
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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2nd Alt. way: log Taylor series of ln(sec(x)) withOUT Taylor series explicitly
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1st/2 ways: Show 1+3+5+ ... +(2n-1) + (2n+1) + (2n-1)+...+5+3+1= n^2 + (n+1)^2
sq root derivative √'(f(x)
trig integral ∫x sec^5(x^2) tan(x^2) dx
Think about the SS values you might obtain if you computed SS for these 22 samples...
2 ways: Show log b^(1/n)(a) = n logb(a)
Simplify the Boolean function F=A+A'B
exp integral ∫ (e^2x -1) /(e^2x +1)dx
The number of solutions of the equation x^(log10(x)) = 100x
Camping & Masak EP 1 season 2
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4th/4parts: Maclaurin Series [ahp kia]
trig Show sec^4(x)-tan^4(x) = sec^2(x)+tan^2(x)
3 ways: derivative log(x+ (1+√(x^2)))
UC Davis #11: count prove Σi^2 = n(n+1)(2n+1)/6 where i=1 to n
2nd/2ways: [k map] logic Simplify the Boolean function F=A'B'C+A'BC+AB'
trig integral ∫sin(x) cos(x) cos(2x) cos(4x) cos(8x) cos(16x) cos(32x) dx