prob stat: The following frequency table gives the values obtained

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in 40 rolls of die....

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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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1:49

1st way: exp ∫(e^x)/x (1+x log(x)) dx

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5:18

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

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0:19

🪔 Happy Deepavali 🪔 [Nov-12-2023]

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1:23

A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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0:53

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

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3:24

The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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0:50

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5:54

Conversion: Permutation - Combination vice versa

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2:01

integral ∫(8x+12) (x^2+3x+1)^4 dx vs integral ∫(8x+12)/(x^2+3x+1)^4

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4:20

4 ways: trig integral ∫tan(x) dx

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3:10

Review: integral ∫1/(x^2-a^2)dx vs integral ∫1/(a^2-x^2) dx vs integral ∫1/(x^2+a^2) dx

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3:49

3rd/3ways: sum Show 1+2+3+...+n = n(1+n)/2

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4:02

alternate way: count sum 1+2+3+ ... +n

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3:56

1st/2parts 3 ways: tn-1 + tn = n^2 where tn = nth triangular number

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4:16

alternate way: count sum 1+3+5+ ... +(2n-1)

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23:54

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4 ways: sum Find the sum of the values of 4+3i for i=1,2,...,100

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9:59

OSU Math 1151 Practice1: Compute the derivative (1)-(8)

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2 ways: Derivative √ (1+√ (1+√ x)))

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