Reference no: EM13585277

1. In the first attachment the primitive function y=F(x) to y=f(x) is drawn. a) With help of the figure calculate: (integral[0,1]f(x)dx + integral[1, 2]f(x)dx). b) Also calculate: (integral[0, 2]f(x)dx). Compare the results and draw a conclusion.

2. Calculate: (integral[0, 0.5](e^x+1/(e^x))^2 dx). An exact answer is needed.3. In the second attachment the curve y=6*x^2-2*x^3-6x+5 is drawn. You can tell from the figure that the curve and both posotive coordinate axes is limiting a finite area. Determine the size of this area. The right integration limit is determined with Newton-Raphson's method. The integration limit should be determined with such accuracy that the answer of the area can be given with three significant limits. The starting value of the iteration is to be taken directly out of the figure.