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2 ways: integral ∫(x^3+2x)/(x-1) dx

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2nd/2 way: Expand e^sin(x) by Maclaurin's Theorem
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2nd/2 way: Expand e^sin(x) by Maclaurin's Theorem

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
0:57

RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
0:53

MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
5:18

Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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5 ways: integral ∫a^(px+q) dx
4:42

5 ways: integral ∫a^(px+q) dx

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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2
3:16

Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2

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prob stat: Show if y=ax+b where a & b are constants then ȳ = ax̄ + b
2:37

prob stat: Show if y=ax+b where a & b are constants then ȳ = ax̄ + b

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"baby" fact: exp even odd e^x
2:39

"baby" fact: exp even odd e^x

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Lamar U: #11 trig integral ∫csc^6(x/4) cot^4(x/4) dx
2:34

Lamar U: #11 trig integral ∫csc^6(x/4) cot^4(x/4) dx

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2nd way: Express (4x-17)/((x+4)(2x-3)) in partial fractions via
2:02

2nd way: Express (4x-17)/((x+4)(2x-3)) in partial fractions via

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2nd way: exp integral ∫ dx/x^2014 /(1+1/x^2013)
1:13

2nd way: exp integral ∫ dx/x^2014 /(1+1/x^2013)

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UC Davis #3 2nd way: ∫(2-x)/(x^2+5x)dx [integration by partial fraction]
2:57

UC Davis #3 2nd way: ∫(2-x)/(x^2+5x)dx [integration by partial fraction]

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2nd way: log sq rt ∫ln(ax+b)/n√(ax+b)^m dx
1:53

2nd way: log sq rt ∫ln(ax+b)/n√(ax+b)^m dx

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Lamar U 2nd way: evaluate trig integral ∫x sin(x^2) [cos^4(x^2) + 8 cos^2(x^2)-10] dx
1:57

Lamar U 2nd way: evaluate trig integral ∫x sin(x^2) [cos^4(x^2) + 8 cos^2(x^2)-10] dx

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Suppose your midterm test score is 83 & your final exam score is 95.
1:33

Suppose your midterm test score is 83 & your final exam score is 95.

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integral ∫logb(√x) dx
2:49

integral ∫logb(√x) dx

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Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(4x)) dx
0:44

Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(4x)) dx

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The Two Faces of Zhang Xueyi
0:43

The Two Faces of Zhang Xueyi

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UC Davis: #6 exp integral ∫e^x(1+2e^x)^4 dx
0:48

UC Davis: #6 exp integral ∫e^x(1+2e^x)^4 dx

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prob stat One of the longest words in std. statistics terminology is "HOMOSCEDASTICITY".
1:39

prob stat One of the longest words in std. statistics terminology is "HOMOSCEDASTICITY".

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