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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n
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example: Mean, Median & Mode
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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2nd/3ways: trig integral ∫sec(x) dx
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Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed
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2nd way: ∫1/(√(x-α)(x-β)) dx
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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))
Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5
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prob stat: Compute Var(X) when X represents the outcome when we roll a fair die.
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Show integral 1/(x^2(x^2+a^2)) dx = -1/(a^2x) - 1/a^3 arc tan(x/a)
JEE Main integral x^2/(a+bx)^2 dx
Sum of Square vs Square of Sum
Add math: Find the equation of the line ...
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UC Davis #3 2nd way: ∫(2-x)/(x^2+5x)dx [integration by partial fraction]
#20 2020 MIT integration Bee Quali Exam: integral ∫1/(1+cos^2(x)) dx
2nd way: ∫2x/(x+5)^6 dx vs ∫2x (x+5)^6 dx
Find the expected value & the variance of a geometric r.v. X
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Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]
Evaluate these 9 integrals containing ...