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proposing crush int different way with shayri 0

i=int e^(tan^(-1)x)((1+x^(2)+x)/(1+x^(2)))dx is equal to

i=int log_(e)log_(e)x(1)/((log_(e)x)^(2)) dx is equal to

i=int(1)/(a^(2)cos^(2x+b^(2)sin^(2)x)dx

i=int sqrt(x^(2)-a^(2))dx

for _ in range(int(input()))