Screen Recording 2024-03-03 at 12.00.11 AM

Lamar U: #13 trig integral ∫(2+7sin^3(x))/cos^2(x) 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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2nd way: integral ∫ log √x(x^n) dx

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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

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

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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Pantun Melayu [Sorong papan tarik papan]

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The pth, qth, & rth terms of an AP are x,y,z respectively.

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NONelementary integral ∫e^(ax)/x dx

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2nd way: integral ∫(6+4x--2x^2) dx via 1) complete sq 2) then trig. sub

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alternate way: ∫ √(x^2+a^2 )dx via "expressing in 2 ways"

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exp integral ∫a^(√√x^3)/√√x dx

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Roorkee 1976 RET 1991Hindustan: trig integral 1/(sin^2(x) cos^2(x)) dx

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Show ∫1/(a+btan(x)) dx = ...

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3 ways: Find 1+2+3+ ... + n^2.

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prob stat: 2nd/2 parts. One sample has a mean of M=6 &

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