JEE PYQ Pattern Mix

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Try the first 5 questions

1.
integral(0 to pi) x/(1 + sin^2 x) dx equals:
2.
lim(n->inf) (1/n) * sum(k=1 to n) sin(k*pi/(2n)) equals:
3.
If f(x) = integral(1 to x) (2t - 1) dt, then f has a minimum at:
4.
integral(-1 to 1) e^|x| dx equals:
5.
integral(0 to pi/2) sqrt(sin x)/(sqrt(sin x) + sqrt(cos x)) dx equals:

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