JEE Main integral ∫x^5 /√(1+x^3) dx

Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?

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

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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trig Write each expression as an equivalent algebraic expression involving only x.

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Bijection of elements in tn & a pair of elements of (n+1)

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1st/2 parts stat: SLR SLR Regression lline always goes through the point (x̄, ȳ)

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2nd/2parts stat: SLR Regression lline always goes through the point (x̄, ȳ)

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AP Calculus 4th way: exp ∫1/(1+e^x) dx via 3rd u-sub

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''The Honourable Schoolboy'' - by John le Carre - Part 1 - Read by Michael Jayston

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AP Calculus 2nd way: trig integral ∫sin^2(x) cos^2(x) dx

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With an old car at home, it’s like having a treasure—well, I’m talking about the car.

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AP Calculus 2nd way: 1/(x^2 +2x+2) dx

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1st/2ways: logic Import-Export

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AP Calculus 2nd way: trig integral ∫sec(2x)/(sec(x) csc(x) dx

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Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c

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3 ways: trig Show sec(2x)=sec^2(x)/(2-sec^2(x))

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2nd/3ways: exp Derivative x^x

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2 ways: integral ∫(x-a)/(x+a) dx

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integral ∫√(x-a)/x dx

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2nd/2ways: count perm Show P(n,2)+P(n,1)=n^2

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