when integrating you must add one to the power and divide by the new power. so y=(5x^(2 + 1))/3 + (x^(1+1))/2 + 2x + c now substitute 1 for x and 3 for y so 3= (5(1)^(2 + 1))/3 + ((1)^(1+1))/2 + 2(1) + c 3 = 5/3 + 1/2 + 2 + c then rearrange for c so that c = -7/6