2 ways: Show logb^n(a)=1/n logb(a)

UC Davis: #6 exp integral ∫e^x(1+2e^x)^4 dx

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

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

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lim x/e^x? as x→∞

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

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

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

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2 ways: sq root derivative 1/(√√(1/√x))

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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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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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exp integral ∫a^(√√x^3)/√√x dx

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PBF Com

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4 ways: sum Find the sum of the values of 4+3i for i=1,2,...,100

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multivariable Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1)...

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2nd Alt. way: log Taylor series of ln(sec(x)) withOUT Taylor series explicitly

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Steven Nazareno_2802

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2 ways: integral (3+5x)/(x(x-1)) dx

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trig integral cos^2(x) sin(x) dx

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4th/4parts: Maclaurin Series [ahp kia]

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