Lamar U Calculus: #14 integral ∫ [9sin^5(3x)-2cos^3(3x)] csc^4(3x) dx

2nd way: Evaluate integral ∫x^2/√(19-x^2) dx

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2nd way: integral ∫ log √x(x^n) dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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Swinburne U 2nd way: e^(-e^x) e^x dx

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Review: Linear form, Quadratic form & Bilinear form

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

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prob stat: 2nd/2 parts. One sample has a mean of M=6 &

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2nd way: integral ∫ 1/(5x^2 -3x +7) dx with BONUS

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Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction

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5 ways: trig Derivative of sin^2(x)

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Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?

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2nd/2 ways: derivative x^2/3 + y^2/3 = a^2/3

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2 ways: derivative x √√x

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How many chords can be drawn through 21 points on a circle?

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doneScreen Recording 2024-05-18 at 10.25.20 PM

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matrix example: How to select the column you want ...

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If u=f(y/x) then prove that x∂u/∂x + y∂u/∂y = 0

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sqrt integral ∫(√x+1)/(x+√x) 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

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