0 View PremiumJul 13, 2023
Always ZERO
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logic Idempotent law show x=xVx
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2nd/3ways: trig integral ∫sec(x) dx
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2nd way: integral ∫ log √x(x^n) dx
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Review: Linear form, Quadratic form & Bilinear form
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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Lamar U 2nd way: evaluate trig integral ∫17(xe^x+e^x)sin(e^x)-14sin(x) dx
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integration bee 2014 UNSW 2nd way: tan(x)/(sin(x) cos(x)) dx
doneScreen Recording 2024-05-18 at 10.25.20 PM
4th/4parts: Maclaurin Series [ahp kia]
1st/3 ways: Show 1+2+3+...+n=n(1+n)/2 via picture
Alternate way: exp derivative x^n
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Derivative: Don't blindly use the Quotient Rule every time you see a quotient
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Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction
Vandermonde's Identity
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Properties of Determinants [examples with 2x2 matrix]
I.B.P Derivation [Integration By Parts]
inverse trig Derivative arc sin(x)
A bag contains 20 identical red marbles, 20 identical green marbles, & 20 identical blue marbles.
Lamar U 2nd way: evaluate exp integral ∫e^(8x)(4+e^(4x))^(-3) dx