If x=at^2,, y=2at, then find d2y/dx2

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

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2nd/2 parts: Mean 1+2+3+...+n is just (1+n)/2. Why?

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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logic Idempotent law show x=xVx

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

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

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2nd way: integral ∫1/cos(ax/2) dx

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integration bee 2018 Swineburne U 2nd way 1/(x^3+x) dx

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3 ways: trig integral ∫sec^2(x) tan(x) dx

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Swallowed Star Episode 201 [Eng Sub]

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2nd way: sq rt log integral ∫√√√(x) ln(x) dx

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logic: Show p→q ≡¬ p∨q

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2nd/2parts Mohammad Ali Jinnah University: Integrate the followings.

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Conversion: Permutation - Combination vice versa

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Screen Recording 2024-05-05 at 11.28.23 PM

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2nd way: trig derivative tan(arc tan(x))

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1st/2ways: Evaluate lim sin(5x)/sin(9x) as x tends 0

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trig Show sec^4(x)-tan^4(x) = sec^2(x)+tan^2(x)

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prob stat: 2 formula for sample variance

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prob stat: Show ∑(xk-x̄)(yk-ȳ) = ∑(xk-x̄) yk where k=1 to n

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