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Review: Product to Sum Identities
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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1st/3parts: Mean of 1,2,3,...,n SAME as Mean 1,n
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Alternate way: sq root integral ∫1/√((x-α)(x-β)) dx
prob stat: x̄=∑xk where k=1,2,3,...,n?
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Alternate way: 2nd picture Show 1+3+5+...+(2n-1)=n^2
Compute the arithmetic mean for the following grouped data ...
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4 ways: sum Find the sum of the values of 4+3i for i=1,2,...,100
OSU Math 1151 Practice4: Compute the derivative
Lamar U: Derivatives of Exponential & Log Functions Assignment Problems.
1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)
2nd/2ways: trig Evaluate (sin^6(x) + cos^6(x))/(sin^2(x) cos^2(x)) dx
Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c
Texas Tech: 5 ways trig Differentiate g(x)=cos^2(x)
2nd example: Find the sum -0.31, -0.19, -0.07, 0.05, 0.17, 0.29 via median
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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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integral Find ∫1/(9-4x^2) dx
Alternate way exp derivative (logf(x)(g(x)))^a
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2 ways: log derivative log3(x)
trig integral ∫sin^2(x)/cos^6(x)) dx