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Show Σa=na where k=1 to n
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) 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
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2nd way: integral ∫ log √x(x^n) dx
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What is π?
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2 ways: ∫ (1-x)/√(1-x^2) dx
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How many chords can be drawn through 21 points on a circle?
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UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]
If 2^x + 2^y = 2^(x+y), then dy/dx ?
2nd way: trig integral (1+cos(x))/(x+sin(x)) dx
Doubly triangular number
trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫1/(a^2+b sin^2(x)) dx
derivative a^loga(f(g(ax+b)))
1st way: exp trig ∫e^x (cos(x)+sin(x)) dx
2nd/2ways: [k map] logic Simplify the Boolean function F=A'B'C+A'BC+AB'
1st/2 ways: Show derivative d(arc sin(x))/dx = 1/√(1-x^2)
2 ways: trig integral ∫1/(2+cos^2(x)) dx
Add math: Find the equation of the line ...
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Alternate way: 2nd picture Show 1+3+5+...+(2n-1)=n^2