Science Quiz / Five-Minute Math: Integration

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Can you evaluate the following integrals?

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∫ dx on [0, 1]
∫ x dx on [0,1]
∫ x^2 dx on [0,1]
∫ x^3 dx on [0,1]
∫ e^x dx on [0,1]
∫ log(x) dx on [1, 2] (write in form alog(b)+c)
∫ cos(x) + 1 dx on [0, 2π]
∫ cos^2(x) dx on [0, 2π]
∫∫ dx dy on [0,1]x[0,1]
∫∫ xy dx dy on [0,1]x[0,1]
∫∫ xy^2 dx dy on [0,1]x[0,1]
∫∫ xy^3 dx dy on [0,1]x[0,1]
∫∫ 2xe^y dx dy on [0,1]x[0,1]
∫∫ 3log(x)y^2 dx dy on [1,2]x[0,1] (ditto Q6)
∫∫ cos(xy) dx dy on [0,eπ]x[0,∞)
∫∫ sin(2xy)/(yπ^2) dx dy on [0,eπ]x[0,∞)
∫ dμ on Q
∫ dμ on [0,1]\Q
∫ dμ on C
∫ dμ on SVC

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