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Cream of the Crop 1
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EDUCATE
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SM20A.ARJ
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EXERCI10.4
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1992-04-12
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64 lines
problem1
inte(1/x^(1/3), x from 0 to 8)
problem2
inte(1/sqrt(x), x from 0 to 9)
problem3
inte(1/x^2, x from -3 to 0-zero)+inte(1/x^2, x from 0+zero to 1)
problem4
inte(1/(x+2)^(5/4), x from -2 to -1)
problem5
inte(sec(x)^2, x from 0 to pi/2)
problem6
inte(e^sqrt(x)/sqrt(x), x from 0 to 1)
problem7
inte(1/(4-x)^(3/2), x from 0 to 4)
problem8
inte(1/(x+1)^(1/3), x from 0 to -1)
problem9
inte(1/(4-x)^(2/3), x from 0 to 4)
problem10
inte(x/(x^2-1), x from 1 to 2)
problem11
inte(1/(x+1)^3, x from -2 to -1-zero)+inte(1/(x+1)^3, x from -1+zero to 2)
problem12
inte(x^(-4/3), x from -1 to 0-zero)+inte(x^(-4/3), x from 0+zero to 1)
problem13
inte(1/sqrt(4-x^2), x from -2 to 0)
problem14
inte(x/sqrt(4-x^2), x from -2 to 0)
problem15
inte(1/x, x from -1 to 2)
problem16
inte(1/(x^2-x-2), x from 0 to 4)
problem17
inte(x*ln(x), x from 0 to 1)
problem18
inte(tan(x)^2, x from 0 to pi/2-zero)
problem19
inte(tan(x), x from 0 to pi/2-zero)
problem20
inte(1/(1-cos(x)), x from 0 to pi/2)
problem21
inte((x-2)/(x^2-5*x+4), x from 2 to 4)
problem22
inte(1/(x*ln(x)^2), x from 1/e to e)
problem23
y=1/x^2*cos(1/x)
inte(y, x from -1 to 0-zero)+inte(y, x from 0+zero to 2)
problem24
inte(sec(x), x from 0 to pi)
problem25
inte(cos(x)/sqrt(1-sin(x)), x from 0 to pi)
problem26
inte(x/(x-1)^(1/3), x from 0 to 9)
problem27
inte(1/(x^2-4*x+3), x from 0 to 4)
problem28
inte(x/(x^2-1)^(1/3), x from -1 to 3)
problem29
y=1/(x-4)^2
inte(y, x from 0 to 4-zero)+inte(y, x from 4+zero to inf)
problem30
inte(1/(x+2), x from -inf to 0)
end