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4 ways: exp integral ∫a^(bx+c) dx
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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
12 Views
2nd way: integral ∫ log √x(x^n) dx
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integral ∫x^2/√(x^2+a^2) dx
Lamar U: trig integral ∫cos^5(2t) sin^2(2t) dt
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Screen Recording 2023-12-06 at 3.06.15 AM
2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫3x/((x-2)(x+1)) dx
Alternate way: exp derivative x^n
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1st/2 parts: Inverse 2x2 matrix
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integral ∫x dx withOUT using power rule
Properties of Determinants [examples with 2x2 matrix]
Screen Recording 2024-02-22 at 10.45.08 PM
integral ∫√(x-a)/x dx
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2nd way: derivative ∫log (f(x))^g(x) (p(x))^r(x)
Show Σa=na where k=1 to n
2 ways: derivative logb(x)
example: Mean, Median & Mode