Mathematica Lab ONE Do the following, and clearly show me the Mathematica syntax (so I know you used Mathematica) Use screen clippings or copy-paste the images, as I did in the previous pages. 1.) Evaluate the following integrals: 2 1a.) J dx 1b.) J x x(3x+1) VX- 1 dx 2.) Graph the following: 2a.)2sin(xy) = x - y on [-10,10]x[-10,10] 2b.)8sin(xy) = x -y on [-10,10]x[-10,10] 3. Sketch the region and find the area of the triangle with vertices (2,0), (0,2),(-1,1). Use the function Graphics[Line[ {{p1},{p2),{p3}, etc}]] Example find equation of a line point (5,2),(1,3) To find the equation of the line use Solvely-2==(2-3)/(5-1)*(x-5),y)] This will give you the equation of a line. Output is {ly - 13-x Use that equation to integrate and find the area. Find there intersections using NSolve[{eq1,eq2},{x,y}, Reals] This will output the intersections and you can use that for your limits of integration. Give the solution to the area under the curve. Do not manually add them together, use Mathematica