sinc)) dt. 1. Compute the integral 2. Fix a number a > 0. Find the derivative of the function F(x) = fitbods. 3. From the identity Svedy = (a.x} +hx? + cx + d)e+ C. find the constants a,b,c,d. 4. The equation of an ellipse ist?/? + y2/2 = 1 for positive numbers a,b. Find the formula for the area of the ellipse knowing that the area of the unitary circle is . 5. Consider the region {(x,y): -1