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For the integral below, determine whether it is improper, and whether it requires partial fraction decomposition to be evaluated.
A) ∫-[infinity]³/x.(1+lnx)dx
B) ∫2x²-9x-9/x³-9x dx
C) ∫20x/(x-1)²(x²+1) dx
D) ∫x⁴-2x³+x/x²-4
E) ∫[infinity] -[infinity]t tan-¹/x³+1 dx
F) ∫₀ x³In(3x)dx

Sagot :

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