Numerical Value Questions

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Try the first 5 questions

1.
lim(n->inf) (1*2*3*...*n)^(1/n) / n equals:
2.
integral(0 to pi/2) sin^2(x) cos^4(x) dx equals k*pi. Find 32k.
3.
integral(0 to 8pi) |cos x| dx equals:
4.
integral(0 to pi/4) ln(1 + tan x) dx = (pi/k) * ln 2. Find k.
5.
integral(0 to pi) x*sin(x)/(1 + cos^2(x)) dx = k*pi^2. Find k.

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