Screen Recording 2024-05-12 at 10.27.00 PM

logic Show by truth table x∧(x→y)→y is Tautology

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2nd way: integral ∫ log √x(x^n) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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2nd/3ways: trig integral ∫sec(x) dx

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2 ways: derivative (ax+b)^n

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implicit differentiation Find dy/dx, sin(xy) +x/y = x^2 -y

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2Screen Recording 2024-05-17 at 6.10.36 PM

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5 ways: integral ∫a^(px+q) dx

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Screen Recording 2023-12-30 at 9.34.01 PM

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derivative x^n vs n^x vs x^x

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2 ways: Find logarithm of 5 to the base 5 √5.

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3 ways: rational function integral ∫2x/(x+1)^2 dx

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Calculus: Find nth derivative of log(ax+b)

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2nd way: integral ∫p^(nx) q^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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derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2 - xy1 = a^2y.

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2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx

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2nd way: sq rt integral ∫(√x)/(x+1) dx

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Lamar U: Assume that x=x(t) & y=y(t) & differentiate the following equation wrt t

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