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Alternate way: ∫(5+2x)/(x+x^4)dx
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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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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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
2nd/2ways: Taylor series of sin(x) [Maclaurin's series]
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trig integral ∫sec(x) dx =
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2nd/2ways: count perm Show P(n,2)+P(n,1)=n^2
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STPM Math T: trig double angle Express cos(2x) & sin(2x) in terms of tan(x)
derivative differentiate √((x-3)(x^2+4)/(3x^2+4x+5))
2 ways: integral ∫(x^3+2x)/(x-1) dx
derivative If y=(a+bx)e^(-nx), prove that y2+2ny1+n^2y=0
derivative: If x=cos(log(y)), show that (1-x^2)y2 - xy1 = y
integral ∫e^x(1/x - 1/x^2) dx
trig integral ∫1/cos(ax+b) dx
derivative differentiate x^x - 2^sin(x)
prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.
Fill in each blank using either mean or median.