Determine whether this integral is convergent or divergent. If it is convergent,

Question

Determine whether this integral is convergent or divergent. If it is convergent, evaluate it. If it is divergent, enter NONE. Determine whether this integral is convergent or divergent. If it is convergent, evaluate it. If it is divergent, enter NONE. Determine whether this integral is convergent or divergent. If it is convergent, evaluate it. If it is divergent, enter NONE. Sketch the region (Do this on paper.) and find its area. If the area is not finite, enter NONE. S = {(x,y) | x -4, 0 y e-xl/2}

Explanation / Answer

6) 1/2tan-1(r/2)]-infinity to infinity; =infity; so divergence; 7)using integral test; p=5>1; so it is divergent; 8) -2/sqrt(x)]0 to 7; =infinity; diverges; 9)plot the graph using matlab; den after find the area; other way to find an area; =integration -4 to infinity e^(-x/2)dx; =-1/2e^(-x/2)] -4 to infinity; =1/2e^2;

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