I have these integrals to find:
∫ (5x^2 + sqrt(x) - 4/x^2) dx
∫ [cos(x/2) - sin(3x/2)] dx
∫ s/sqrt(s^2 + 4) ds (upper coordinate is 5 lower coordinate is 1)
I have worked it out as:
∫〖(5x^2+√x〗-4/x^2) dx=5x^3/(2+1)+x^(1/2+1)/(1+1/2)-4x^(-2+1)/(-2+1)+C=5/3 x^3+2/3x^(3/2)+4/x+C...